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Finding the Fourth Proportional to 22,642.07, 31,242.71 and 12,570.59

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Solution

The fourth proportional to 22,642.07, 31,242.71 and 12,570.59 is: 17,345.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.07 : 31,242.71 = 12,570.59 : x
  2. Step 2: Convert to fraction form
    22,642.07/31,242.71 = 12,570.59/x
  3. Step 3: Cross multiply
    22,642.07x = 31,242.71 × 12,570.59
  4. Step 4: Simplify right side
    22,642.07x = 392,739,078.83
  5. Step 5: Solve for x
    x = 392,739,078.83/22,642.07
  6. Step 6: Final answer
    x = 17,345.55

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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.