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Finding the Fourth Proportional to 22,977.60, 31,712.52 and 14,030.28

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Solution

The fourth proportional to 22,977.60, 31,712.52 and 14,030.28 is: 19,363.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977.60 : 31,712.52 = 14,030.28 : x
  2. Step 2: Convert to fraction form
    22,977.60/31,712.52 = 14,030.28/x
  3. Step 3: Cross multiply
    22,977.60x = 31,712.52 × 14,030.28
  4. Step 4: Simplify right side
    22,977.60x = 444,935,535.11
  5. Step 5: Solve for x
    x = 444,935,535.11/22,977.60
  6. Step 6: Final answer
    x = 19,363.88

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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.