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Finding the Fourth Proportional to 14,154.35, 19,524.14 and 9,113.31

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Solution

The fourth proportional to 14,154.35, 19,524.14 and 9,113.31 is: 12,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,154.35 : 19,524.14 = 9,113.31 : x
  2. Step 2: Convert to fraction form
    14,154.35/19,524.14 = 9,113.31/x
  3. Step 3: Cross multiply
    14,154.35x = 19,524.14 × 9,113.31
  4. Step 4: Simplify right side
    14,154.35x = 177,929,528.91
  5. Step 5: Solve for x
    x = 177,929,528.91/14,154.35
  6. Step 6: Final answer
    x = 12,570.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.