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Finding the Fourth Proportional to 15,730.34, 21,707.85 and 8,656.76

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Solution

The fourth proportional to 15,730.34, 21,707.85 and 8,656.76 is: 11,946.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.34 : 21,707.85 = 8,656.76 : x
  2. Step 2: Convert to fraction form
    15,730.34/21,707.85 = 8,656.76/x
  3. Step 3: Cross multiply
    15,730.34x = 21,707.85 × 8,656.76
  4. Step 4: Simplify right side
    15,730.34x = 187,919,701.84
  5. Step 5: Solve for x
    x = 187,919,701.84/15,730.34
  6. Step 6: Final answer
    x = 11,946.33

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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.