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Finding the Fourth Proportional to 14,947.32, 22,421 and 3,854.04

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Solution

The fourth proportional to 14,947.32, 22,421 and 3,854.04 is: 5,781.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,947.32 : 22,421 = 3,854.04 : x
  2. Step 2: Convert to fraction form
    14,947.32/22,421 = 3,854.04/x
  3. Step 3: Cross multiply
    14,947.32x = 22,421 × 3,854.04
  4. Step 4: Simplify right side
    14,947.32x = 86,411,430.84
  5. Step 5: Solve for x
    x = 86,411,430.84/14,947.32
  6. Step 6: Final answer
    x = 5,781.07

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