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Finding the Fourth Proportional to 22,580.32, 31,159.28 and 12,507.82

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Solution

The fourth proportional to 22,580.32, 31,159.28 and 12,507.82 is: 17,259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.32 : 31,159.28 = 12,507.82 : x
  2. Step 2: Convert to fraction form
    22,580.32/31,159.28 = 12,507.82/x
  3. Step 3: Cross multiply
    22,580.32x = 31,159.28 × 12,507.82
  4. Step 4: Simplify right side
    22,580.32x = 389,734,618.94
  5. Step 5: Solve for x
    x = 389,734,618.94/22,580.32
  6. Step 6: Final answer
    x = 17,259.93

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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.