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Finding the Fourth Proportional to 14,565.61, 21,822.49 and 6,113.53

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Solution

The fourth proportional to 14,565.61, 21,822.49 and 6,113.53 is: 9,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,565.61 : 21,822.49 = 6,113.53 : x
  2. Step 2: Convert to fraction form
    14,565.61/21,822.49 = 6,113.53/x
  3. Step 3: Cross multiply
    14,565.61x = 21,822.49 × 6,113.53
  4. Step 4: Simplify right side
    14,565.61x = 133,412,447.29
  5. Step 5: Solve for x
    x = 133,412,447.29/14,565.61
  6. Step 6: Final answer
    x = 9,159.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.