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Finding the Fourth Proportional to 14,377.68, 21,564 and 5,612.76

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Solution

The fourth proportional to 14,377.68, 21,564 and 5,612.76 is: 8,418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,377.68 : 21,564 = 5,612.76 : x
  2. Step 2: Convert to fraction form
    14,377.68/21,564 = 5,612.76/x
  3. Step 3: Cross multiply
    14,377.68x = 21,564 × 5,612.76
  4. Step 4: Simplify right side
    14,377.68x = 121,033,556.64
  5. Step 5: Solve for x
    x = 121,033,556.64/14,377.68
  6. Step 6: Final answer
    x = 8,418.16

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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.