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Finding the Fourth Proportional to 22,765.60, 31,416.16 and 13,332.16

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Solution

The fourth proportional to 22,765.60, 31,416.16 and 13,332.16 is: 18,398.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.60 : 31,416.16 = 13,332.16 : x
  2. Step 2: Convert to fraction form
    22,765.60/31,416.16 = 13,332.16/x
  3. Step 3: Cross multiply
    22,765.60x = 31,416.16 × 13,332.16
  4. Step 4: Simplify right side
    22,765.60x = 418,845,271.71
  5. Step 5: Solve for x
    x = 418,845,271.71/22,765.60
  6. Step 6: Final answer
    x = 18,398.17

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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.