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Finding the Fourth Proportional to 22,937.60, 34,381.92 and 9,783.20

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Solution

The fourth proportional to 22,937.60, 34,381.92 and 9,783.20 is: 14,664.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,937.60 : 34,381.92 = 9,783.20 : x
  2. Step 2: Convert to fraction form
    22,937.60/34,381.92 = 9,783.20/x
  3. Step 3: Cross multiply
    22,937.60x = 34,381.92 × 9,783.20
  4. Step 4: Simplify right side
    22,937.60x = 336,365,199.74
  5. Step 5: Solve for x
    x = 336,365,199.74/22,937.60
  6. Step 6: Final answer
    x = 14,664.36

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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.