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Finding the Fourth Proportional to 17,712, 24,440.43 and 10,157.94

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Solution

The fourth proportional to 17,712, 24,440.43 and 10,157.94 is: 14,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712 : 24,440.43 = 10,157.94 : x
  2. Step 2: Convert to fraction form
    17,712/24,440.43 = 10,157.94/x
  3. Step 3: Cross multiply
    17,712x = 24,440.43 × 10,157.94
  4. Step 4: Simplify right side
    17,712x = 248,264,459.61
  5. Step 5: Solve for x
    x = 248,264,459.61/17,712
  6. Step 6: Final answer
    x = 14,016.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.