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Finding the Fourth Proportional to 22,776.59, 31,430.26 and 12,567.74

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Solution

The fourth proportional to 22,776.59, 31,430.26 and 12,567.74 is: 17,342.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,776.59 : 31,430.26 = 12,567.74 : x
  2. Step 2: Convert to fraction form
    22,776.59/31,430.26 = 12,567.74/x
  3. Step 3: Cross multiply
    22,776.59x = 31,430.26 × 12,567.74
  4. Step 4: Simplify right side
    22,776.59x = 395,007,335.81
  5. Step 5: Solve for x
    x = 395,007,335.81/22,776.59
  6. Step 6: Final answer
    x = 17,342.69

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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.