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Finding the Fourth Proportional to 14,462.57, 21,706.14 and 10,312.74

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Solution

The fourth proportional to 14,462.57, 21,706.14 and 10,312.74 is: 15,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.57 : 21,706.14 = 10,312.74 : x
  2. Step 2: Convert to fraction form
    14,462.57/21,706.14 = 10,312.74/x
  3. Step 3: Cross multiply
    14,462.57x = 21,706.14 × 10,312.74
  4. Step 4: Simplify right side
    14,462.57x = 223,849,778.22
  5. Step 5: Solve for x
    x = 223,849,778.22/14,462.57
  6. Step 6: Final answer
    x = 15,477.88

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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.