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Finding the Fourth Proportional to 25,276.40, 37,916.40 and 7,746.20

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Solution

The fourth proportional to 25,276.40, 37,916.40 and 7,746.20 is: 11,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,276.40 : 37,916.40 = 7,746.20 : x
  2. Step 2: Convert to fraction form
    25,276.40/37,916.40 = 7,746.20/x
  3. Step 3: Cross multiply
    25,276.40x = 37,916.40 × 7,746.20
  4. Step 4: Simplify right side
    25,276.40x = 293,708,017.68
  5. Step 5: Solve for x
    x = 293,708,017.68/25,276.40
  6. Step 6: Final answer
    x = 11,619.85

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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.