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Finding the Fourth Proportional to 25,649.32, 38,462.46 and 12,501.16

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Solution

The fourth proportional to 25,649.32, 38,462.46 and 12,501.16 is: 18,746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649.32 : 38,462.46 = 12,501.16 : x
  2. Step 2: Convert to fraction form
    25,649.32/38,462.46 = 12,501.16/x
  3. Step 3: Cross multiply
    25,649.32x = 38,462.46 × 12,501.16
  4. Step 4: Simplify right side
    25,649.32x = 480,825,366.45
  5. Step 5: Solve for x
    x = 480,825,366.45/25,649.32
  6. Step 6: Final answer
    x = 18,746.13

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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.