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Finding the Fourth Proportional to 17,505.61, 24,157.74 and 9,547.86

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Solution

The fourth proportional to 17,505.61, 24,157.74 and 9,547.86 is: 13,176.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,505.61 : 24,157.74 = 9,547.86 : x
  2. Step 2: Convert to fraction form
    17,505.61/24,157.74 = 9,547.86/x
  3. Step 3: Cross multiply
    17,505.61x = 24,157.74 × 9,547.86
  4. Step 4: Simplify right side
    17,505.61x = 230,654,719.44
  5. Step 5: Solve for x
    x = 230,654,719.44/17,505.61
  6. Step 6: Final answer
    x = 13,176.05

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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.