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Finding the Fourth Proportional to 17,867.40, 24,656.16 and 10,315.08

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Solution

The fourth proportional to 17,867.40, 24,656.16 and 10,315.08 is: 14,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,867.40 : 24,656.16 = 10,315.08 : x
  2. Step 2: Convert to fraction form
    17,867.40/24,656.16 = 10,315.08/x
  3. Step 3: Cross multiply
    17,867.40x = 24,656.16 × 10,315.08
  4. Step 4: Simplify right side
    17,867.40x = 254,330,262.89
  5. Step 5: Solve for x
    x = 254,330,262.89/17,867.40
  6. Step 6: Final answer
    x = 14,234.32

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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.