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Finding the Fourth Proportional to 17,746.72, 26,618.88 and 7,886.56

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Solution

The fourth proportional to 17,746.72, 26,618.88 and 7,886.56 is: 11,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,746.72 : 26,618.88 = 7,886.56 : x
  2. Step 2: Convert to fraction form
    17,746.72/26,618.88 = 7,886.56/x
  3. Step 3: Cross multiply
    17,746.72x = 26,618.88 × 7,886.56
  4. Step 4: Simplify right side
    17,746.72x = 209,931,394.25
  5. Step 5: Solve for x
    x = 209,931,394.25/17,746.72
  6. Step 6: Final answer
    x = 11,829.31

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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.