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Finding the Fourth Proportional to 17,437.12, 24,065.44 and 9,884.68

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Solution

The fourth proportional to 17,437.12, 24,065.44 and 9,884.68 is: 13,642.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,437.12 : 24,065.44 = 9,884.68 : x
  2. Step 2: Convert to fraction form
    17,437.12/24,065.44 = 9,884.68/x
  3. Step 3: Cross multiply
    17,437.12x = 24,065.44 × 9,884.68
  4. Step 4: Simplify right side
    17,437.12x = 237,879,173.46
  5. Step 5: Solve for x
    x = 237,879,173.46/17,437.12
  6. Step 6: Final answer
    x = 13,642.11

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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.