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Finding the Fourth Proportional to 19,762.83, 29,641.12 and 9,240.17

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Solution

The fourth proportional to 19,762.83, 29,641.12 and 9,240.17 is: 13,858.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.83 : 29,641.12 = 9,240.17 : x
  2. Step 2: Convert to fraction form
    19,762.83/29,641.12 = 9,240.17/x
  3. Step 3: Cross multiply
    19,762.83x = 29,641.12 × 9,240.17
  4. Step 4: Simplify right side
    19,762.83x = 273,888,839.58
  5. Step 5: Solve for x
    x = 273,888,839.58/19,762.83
  6. Step 6: Final answer
    x = 13,858.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.