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Finding the Fourth Proportional to 15,732, 21,710.16 and 9,444.42

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Solution

The fourth proportional to 15,732, 21,710.16 and 9,444.42 is: 13,033.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732 : 21,710.16 = 9,444.42 : x
  2. Step 2: Convert to fraction form
    15,732/21,710.16 = 9,444.42/x
  3. Step 3: Cross multiply
    15,732x = 21,710.16 × 9,444.42
  4. Step 4: Simplify right side
    15,732x = 205,039,869.31
  5. Step 5: Solve for x
    x = 205,039,869.31/15,732
  6. Step 6: Final answer
    x = 13,033.30

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