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Finding the Fourth Proportional to 25,360.32, 38,047.08 and 9,772.80

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Solution

The fourth proportional to 25,360.32, 38,047.08 and 9,772.80 is: 14,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,360.32 : 38,047.08 = 9,772.80 : x
  2. Step 2: Convert to fraction form
    25,360.32/38,047.08 = 9,772.80/x
  3. Step 3: Cross multiply
    25,360.32x = 38,047.08 × 9,772.80
  4. Step 4: Simplify right side
    25,360.32x = 371,826,503.42
  5. Step 5: Solve for x
    x = 371,826,503.42/25,360.32
  6. Step 6: Final answer
    x = 14,661.74

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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.