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Finding the Fourth Proportional to 14,201.64, 19,585.53 and 8,897.04

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Solution

The fourth proportional to 14,201.64, 19,585.53 and 8,897.04 is: 12,269.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.64 : 19,585.53 = 8,897.04 : x
  2. Step 2: Convert to fraction form
    14,201.64/19,585.53 = 8,897.04/x
  3. Step 3: Cross multiply
    14,201.64x = 19,585.53 × 8,897.04
  4. Step 4: Simplify right side
    14,201.64x = 174,253,243.83
  5. Step 5: Solve for x
    x = 174,253,243.83/14,201.64
  6. Step 6: Final answer
    x = 12,269.94

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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.