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Finding the Fourth Proportional to 15,737.82, 21,710.58 and 9,776.40

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Solution

The fourth proportional to 15,737.82, 21,710.58 and 9,776.40 is: 13,486.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737.82 : 21,710.58 = 9,776.40 : x
  2. Step 2: Convert to fraction form
    15,737.82/21,710.58 = 9,776.40/x
  3. Step 3: Cross multiply
    15,737.82x = 21,710.58 × 9,776.40
  4. Step 4: Simplify right side
    15,737.82x = 212,251,314.31
  5. Step 5: Solve for x
    x = 212,251,314.31/15,737.82
  6. Step 6: Final answer
    x = 13,486.70

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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.