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Finding the Fourth Proportional to 25,165.64, 37,720.77 and 10,366.48

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Solution

The fourth proportional to 25,165.64, 37,720.77 and 10,366.48 is: 15,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,165.64 : 37,720.77 = 10,366.48 : x
  2. Step 2: Convert to fraction form
    25,165.64/37,720.77 = 10,366.48/x
  3. Step 3: Cross multiply
    25,165.64x = 37,720.77 × 10,366.48
  4. Step 4: Simplify right side
    25,165.64x = 391,031,693.81
  5. Step 5: Solve for x
    x = 391,031,693.81/25,165.64
  6. Step 6: Final answer
    x = 15,538.32

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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.