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Finding the Fourth Proportional to 24,659.49, 34,031.70 and 14,047.68

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Solution

The fourth proportional to 24,659.49, 34,031.70 and 14,047.68 is: 19,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,659.49 : 34,031.70 = 14,047.68 : x
  2. Step 2: Convert to fraction form
    24,659.49/34,031.70 = 14,047.68/x
  3. Step 3: Cross multiply
    24,659.49x = 34,031.70 × 14,047.68
  4. Step 4: Simplify right side
    24,659.49x = 478,066,431.46
  5. Step 5: Solve for x
    x = 478,066,431.46/24,659.49
  6. Step 6: Final answer
    x = 19,386.71

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