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Finding the Fourth Proportional to 25,838.64, 38,756.88 and 8,308.08

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Solution

The fourth proportional to 25,838.64, 38,756.88 and 8,308.08 is: 12,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,838.64 : 38,756.88 = 8,308.08 : x
  2. Step 2: Convert to fraction form
    25,838.64/38,756.88 = 8,308.08/x
  3. Step 3: Cross multiply
    25,838.64x = 38,756.88 × 8,308.08
  4. Step 4: Simplify right side
    25,838.64x = 321,995,259.59
  5. Step 5: Solve for x
    x = 321,995,259.59/25,838.64
  6. Step 6: Final answer
    x = 12,461.77

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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.