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Finding the Fourth Proportional to 14,135.80, 19,506 and 7,847.50

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Solution

The fourth proportional to 14,135.80, 19,506 and 7,847.50 is: 10,828.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.80 : 19,506 = 7,847.50 : x
  2. Step 2: Convert to fraction form
    14,135.80/19,506 = 7,847.50/x
  3. Step 3: Cross multiply
    14,135.80x = 19,506 × 7,847.50
  4. Step 4: Simplify right side
    14,135.80x = 153,073,335
  5. Step 5: Solve for x
    x = 153,073,335/14,135.80
  6. Step 6: Final answer
    x = 10,828.77

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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.