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Finding the Fourth Proportional to 14,102.57, 21,145.07 and 9,715.07

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Solution

The fourth proportional to 14,102.57, 21,145.07 and 9,715.07 is: 14,566.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,102.57 : 21,145.07 = 9,715.07 : x
  2. Step 2: Convert to fraction form
    14,102.57/21,145.07 = 9,715.07/x
  3. Step 3: Cross multiply
    14,102.57x = 21,145.07 × 9,715.07
  4. Step 4: Simplify right side
    14,102.57x = 205,425,753.77
  5. Step 5: Solve for x
    x = 205,425,753.77/14,102.57
  6. Step 6: Final answer
    x = 14,566.55

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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.