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Finding the Fourth Proportional to 25,058.21, 37,591.65 and 8,419.86

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Solution

The fourth proportional to 25,058.21, 37,591.65 and 8,419.86 is: 12,631.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,058.21 : 37,591.65 = 8,419.86 : x
  2. Step 2: Convert to fraction form
    25,058.21/37,591.65 = 8,419.86/x
  3. Step 3: Cross multiply
    25,058.21x = 37,591.65 × 8,419.86
  4. Step 4: Simplify right side
    25,058.21x = 316,516,430.17
  5. Step 5: Solve for x
    x = 316,516,430.17/25,058.21
  6. Step 6: Final answer
    x = 12,631.25

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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.