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Finding the Fourth Proportional to 13,886.96, 19,153.17 and 12,295.31

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Solution

The fourth proportional to 13,886.96, 19,153.17 and 12,295.31 is: 16,957.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886.96 : 19,153.17 = 12,295.31 : x
  2. Step 2: Convert to fraction form
    13,886.96/19,153.17 = 12,295.31/x
  3. Step 3: Cross multiply
    13,886.96x = 19,153.17 × 12,295.31
  4. Step 4: Simplify right side
    13,886.96x = 235,494,066.87
  5. Step 5: Solve for x
    x = 235,494,066.87/13,886.96
  6. Step 6: Final answer
    x = 16,957.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.