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Finding the Fourth Proportional to 15,989.40, 24,005.70 and 10,157.40

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Solution

The fourth proportional to 15,989.40, 24,005.70 and 10,157.40 is: 15,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,989.40 : 24,005.70 = 10,157.40 : x
  2. Step 2: Convert to fraction form
    15,989.40/24,005.70 = 10,157.40/x
  3. Step 3: Cross multiply
    15,989.40x = 24,005.70 × 10,157.40
  4. Step 4: Simplify right side
    15,989.40x = 243,835,497.18
  5. Step 5: Solve for x
    x = 243,835,497.18/15,989.40
  6. Step 6: Final answer
    x = 15,249.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.