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Finding the Fourth Proportional to 17,648.42, 26,455.92 and 6,547.57

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Solution

The fourth proportional to 17,648.42, 26,455.92 and 6,547.57 is: 9,815.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648.42 : 26,455.92 = 6,547.57 : x
  2. Step 2: Convert to fraction form
    17,648.42/26,455.92 = 6,547.57/x
  3. Step 3: Cross multiply
    17,648.42x = 26,455.92 × 6,547.57
  4. Step 4: Simplify right side
    17,648.42x = 173,221,897.42
  5. Step 5: Solve for x
    x = 173,221,897.42/17,648.42
  6. Step 6: Final answer
    x = 9,815.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.