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Finding the Fourth Proportional to 25,649.10, 38,473.68 and 10,656

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Solution

The fourth proportional to 25,649.10, 38,473.68 and 10,656 is: 15,984.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649.10 : 38,473.68 = 10,656 : x
  2. Step 2: Convert to fraction form
    25,649.10/38,473.68 = 10,656/x
  3. Step 3: Cross multiply
    25,649.10x = 38,473.68 × 10,656
  4. Step 4: Simplify right side
    25,649.10x = 409,975,534.08
  5. Step 5: Solve for x
    x = 409,975,534.08/25,649.10
  6. Step 6: Final answer
    x = 15,984.01

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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.