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Finding the Fourth Proportional to 22,830.68, 31,507.01 and 12,759.15

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Solution

The fourth proportional to 22,830.68, 31,507.01 and 12,759.15 is: 17,608.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,830.68 : 31,507.01 = 12,759.15 : x
  2. Step 2: Convert to fraction form
    22,830.68/31,507.01 = 12,759.15/x
  3. Step 3: Cross multiply
    22,830.68x = 31,507.01 × 12,759.15
  4. Step 4: Simplify right side
    22,830.68x = 402,002,666.64
  5. Step 5: Solve for x
    x = 402,002,666.64/22,830.68
  6. Step 6: Final answer
    x = 17,608.00

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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.