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Finding the Fourth Proportional to 24,689.63, 34,071.71 and 13,511.63

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Solution

The fourth proportional to 24,689.63, 34,071.71 and 13,511.63 is: 18,646.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,689.63 : 34,071.71 = 13,511.63 : x
  2. Step 2: Convert to fraction form
    24,689.63/34,071.71 = 13,511.63/x
  3. Step 3: Cross multiply
    24,689.63x = 34,071.71 × 13,511.63
  4. Step 4: Simplify right side
    24,689.63x = 460,364,101.07
  5. Step 5: Solve for x
    x = 460,364,101.07/24,689.63
  6. Step 6: Final answer
    x = 18,646.05

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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.