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Finding the Fourth Proportional to 25,077.60, 37,630.80 and 9,506.40

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Solution

The fourth proportional to 25,077.60, 37,630.80 and 9,506.40 is: 14,265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,077.60 : 37,630.80 = 9,506.40 : x
  2. Step 2: Convert to fraction form
    25,077.60/37,630.80 = 9,506.40/x
  3. Step 3: Cross multiply
    25,077.60x = 37,630.80 × 9,506.40
  4. Step 4: Simplify right side
    25,077.60x = 357,733,437.12
  5. Step 5: Solve for x
    x = 357,733,437.12/25,077.60
  6. Step 6: Final answer
    x = 14,265.06

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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.