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Finding the Fourth Proportional to 25,807.48, 38,711.70 and 8,277.40

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Solution

The fourth proportional to 25,807.48, 38,711.70 and 8,277.40 is: 12,416.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,807.48 : 38,711.70 = 8,277.40 : x
  2. Step 2: Convert to fraction form
    25,807.48/38,711.70 = 8,277.40/x
  3. Step 3: Cross multiply
    25,807.48x = 38,711.70 × 8,277.40
  4. Step 4: Simplify right side
    25,807.48x = 320,432,225.58
  5. Step 5: Solve for x
    x = 320,432,225.58/25,807.48
  6. Step 6: Final answer
    x = 12,416.25

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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.