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Finding the Fourth Proportional to 25,423.02, 38,139.93 and 7,652.16

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Solution

The fourth proportional to 25,423.02, 38,139.93 and 7,652.16 is: 11,479.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,423.02 : 38,139.93 = 7,652.16 : x
  2. Step 2: Convert to fraction form
    25,423.02/38,139.93 = 7,652.16/x
  3. Step 3: Cross multiply
    25,423.02x = 38,139.93 × 7,652.16
  4. Step 4: Simplify right side
    25,423.02x = 291,852,846.75
  5. Step 5: Solve for x
    x = 291,852,846.75/25,423.02
  6. Step 6: Final answer
    x = 11,479.87

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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.