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Finding the Fourth Proportional to 24,718.34, 34,113.40 and 13,965.18

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Solution

The fourth proportional to 24,718.34, 34,113.40 and 13,965.18 is: 19,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,718.34 : 34,113.40 = 13,965.18 : x
  2. Step 2: Convert to fraction form
    24,718.34/34,113.40 = 13,965.18/x
  3. Step 3: Cross multiply
    24,718.34x = 34,113.40 × 13,965.18
  4. Step 4: Simplify right side
    24,718.34x = 476,399,771.41
  5. Step 5: Solve for x
    x = 476,399,771.41/24,718.34
  6. Step 6: Final answer
    x = 19,273.13

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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.