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Finding the Fourth Proportional to 14,608.64, 20,156.91 and 9,301.52

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Solution

The fourth proportional to 14,608.64, 20,156.91 and 9,301.52 is: 12,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,608.64 : 20,156.91 = 9,301.52 : x
  2. Step 2: Convert to fraction form
    14,608.64/20,156.91 = 9,301.52/x
  3. Step 3: Cross multiply
    14,608.64x = 20,156.91 × 9,301.52
  4. Step 4: Simplify right side
    14,608.64x = 187,489,901.50
  5. Step 5: Solve for x
    x = 187,489,901.50/14,608.64
  6. Step 6: Final answer
    x = 12,834.18

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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.