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Finding the Fourth Proportional to 14,909.40, 22,364.10 and 5,046.30

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Solution

The fourth proportional to 14,909.40, 22,364.10 and 5,046.30 is: 7,569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909.40 : 22,364.10 = 5,046.30 : x
  2. Step 2: Convert to fraction form
    14,909.40/22,364.10 = 5,046.30/x
  3. Step 3: Cross multiply
    14,909.40x = 22,364.10 × 5,046.30
  4. Step 4: Simplify right side
    14,909.40x = 112,855,957.83
  5. Step 5: Solve for x
    x = 112,855,957.83/14,909.40
  6. Step 6: Final answer
    x = 7,569.45

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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.