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Finding the Fourth Proportional to 17,655.42, 24,368.68 and 10,106.10

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Solution

The fourth proportional to 17,655.42, 24,368.68 and 10,106.10 is: 13,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.42 : 24,368.68 = 10,106.10 : x
  2. Step 2: Convert to fraction form
    17,655.42/24,368.68 = 10,106.10/x
  3. Step 3: Cross multiply
    17,655.42x = 24,368.68 × 10,106.10
  4. Step 4: Simplify right side
    17,655.42x = 246,272,316.95
  5. Step 5: Solve for x
    x = 246,272,316.95/17,655.42
  6. Step 6: Final answer
    x = 13,948.82

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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.