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Finding the Fourth Proportional to 17,656.88, 24,368.65 and 10,204.88

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Solution

The fourth proportional to 17,656.88, 24,368.65 and 10,204.88 is: 14,083.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,656.88 : 24,368.65 = 10,204.88 : x
  2. Step 2: Convert to fraction form
    17,656.88/24,368.65 = 10,204.88/x
  3. Step 3: Cross multiply
    17,656.88x = 24,368.65 × 10,204.88
  4. Step 4: Simplify right side
    17,656.88x = 248,679,001.66
  5. Step 5: Solve for x
    x = 248,679,001.66/17,656.88
  6. Step 6: Final answer
    x = 14,083.98

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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.