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Finding the Fourth Proportional to 17,698.10, 24,424.02 and 9,740.93

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Solution

The fourth proportional to 17,698.10, 24,424.02 and 9,740.93 is: 13,442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,698.10 : 24,424.02 = 9,740.93 : x
  2. Step 2: Convert to fraction form
    17,698.10/24,424.02 = 9,740.93/x
  3. Step 3: Cross multiply
    17,698.10x = 24,424.02 × 9,740.93
  4. Step 4: Simplify right side
    17,698.10x = 237,912,547.02
  5. Step 5: Solve for x
    x = 237,912,547.02/17,698.10
  6. Step 6: Final answer
    x = 13,442.83

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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.