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Finding the Fourth Proportional to 14,966.65, 22,449.16 and 4,578.40

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Solution

The fourth proportional to 14,966.65, 22,449.16 and 4,578.40 is: 6,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,966.65 : 22,449.16 = 4,578.40 : x
  2. Step 2: Convert to fraction form
    14,966.65/22,449.16 = 4,578.40/x
  3. Step 3: Cross multiply
    14,966.65x = 22,449.16 × 4,578.40
  4. Step 4: Simplify right side
    14,966.65x = 102,781,166.58
  5. Step 5: Solve for x
    x = 102,781,166.58/14,966.65
  6. Step 6: Final answer
    x = 6,867.35

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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.