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Finding the Fourth Proportional to 17,566.74, 24,242.82 and 10,014.24

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Solution

The fourth proportional to 17,566.74, 24,242.82 and 10,014.24 is: 13,820.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,566.74 : 24,242.82 = 10,014.24 : x
  2. Step 2: Convert to fraction form
    17,566.74/24,242.82 = 10,014.24/x
  3. Step 3: Cross multiply
    17,566.74x = 24,242.82 × 10,014.24
  4. Step 4: Simplify right side
    17,566.74x = 242,773,417.76
  5. Step 5: Solve for x
    x = 242,773,417.76/17,566.74
  6. Step 6: Final answer
    x = 13,820.06

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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.