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Finding the Fourth Proportional to 42,605.94, 63,909.09 and 13,023.66

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Solution

The fourth proportional to 42,605.94, 63,909.09 and 13,023.66 is: 19,535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,605.94 : 63,909.09 = 13,023.66 : x
  2. Step 2: Convert to fraction form
    42,605.94/63,909.09 = 13,023.66/x
  3. Step 3: Cross multiply
    42,605.94x = 63,909.09 × 13,023.66
  4. Step 4: Simplify right side
    42,605.94x = 832,330,259.07
  5. Step 5: Solve for x
    x = 832,330,259.07/42,605.94
  6. Step 6: Final answer
    x = 19,535.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.