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Finding the Fourth Proportional to 15,856.16, 21,881.64 and 8,686.24

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Solution

The fourth proportional to 15,856.16, 21,881.64 and 8,686.24 is: 11,987.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,856.16 : 21,881.64 = 8,686.24 : x
  2. Step 2: Convert to fraction form
    15,856.16/21,881.64 = 8,686.24/x
  3. Step 3: Cross multiply
    15,856.16x = 21,881.64 × 8,686.24
  4. Step 4: Simplify right side
    15,856.16x = 190,069,154.50
  5. Step 5: Solve for x
    x = 190,069,154.50/15,856.16
  6. Step 6: Final answer
    x = 11,987.09

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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.