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Finding the Fourth Proportional to 14,145.72, 21,211.29 and 9,710.16

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Solution

The fourth proportional to 14,145.72, 21,211.29 and 9,710.16 is: 14,560.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,145.72 : 21,211.29 = 9,710.16 : x
  2. Step 2: Convert to fraction form
    14,145.72/21,211.29 = 9,710.16/x
  3. Step 3: Cross multiply
    14,145.72x = 21,211.29 × 9,710.16
  4. Step 4: Simplify right side
    14,145.72x = 205,965,019.71
  5. Step 5: Solve for x
    x = 205,965,019.71/14,145.72
  6. Step 6: Final answer
    x = 14,560.24

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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.