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Finding the Fourth Proportional to 14,957.68, 22,438.96 and 4,567

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Solution

The fourth proportional to 14,957.68, 22,438.96 and 4,567 is: 6,851.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,957.68 : 22,438.96 = 4,567 : x
  2. Step 2: Convert to fraction form
    14,957.68/22,438.96 = 4,567/x
  3. Step 3: Cross multiply
    14,957.68x = 22,438.96 × 4,567
  4. Step 4: Simplify right side
    14,957.68x = 102,478,730.32
  5. Step 5: Solve for x
    x = 102,478,730.32/14,957.68
  6. Step 6: Final answer
    x = 6,851.25

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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.