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Finding the Fourth Proportional to 25,615.94, 38,422.35 and 9,602.31

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Solution

The fourth proportional to 25,615.94, 38,422.35 and 9,602.31 is: 14,402.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,615.94 : 38,422.35 = 9,602.31 : x
  2. Step 2: Convert to fraction form
    25,615.94/38,422.35 = 9,602.31/x
  3. Step 3: Cross multiply
    25,615.94x = 38,422.35 × 9,602.31
  4. Step 4: Simplify right side
    25,615.94x = 368,943,459.71
  5. Step 5: Solve for x
    x = 368,943,459.71/25,615.94
  6. Step 6: Final answer
    x = 14,402.89

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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.