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Finding the Fourth Proportional to 13,580.16, 20,357.68 and 9,422.13

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Solution

The fourth proportional to 13,580.16, 20,357.68 and 9,422.13 is: 14,124.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,580.16 : 20,357.68 = 9,422.13 : x
  2. Step 2: Convert to fraction form
    13,580.16/20,357.68 = 9,422.13/x
  3. Step 3: Cross multiply
    13,580.16x = 20,357.68 × 9,422.13
  4. Step 4: Simplify right side
    13,580.16x = 191,812,707.46
  5. Step 5: Solve for x
    x = 191,812,707.46/13,580.16
  6. Step 6: Final answer
    x = 14,124.48

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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.