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Finding the Fourth Proportional to 15,586.86, 21,509.82 and 8,513.28

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Solution

The fourth proportional to 15,586.86, 21,509.82 and 8,513.28 is: 11,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,586.86 : 21,509.82 = 8,513.28 : x
  2. Step 2: Convert to fraction form
    15,586.86/21,509.82 = 8,513.28/x
  3. Step 3: Cross multiply
    15,586.86x = 21,509.82 × 8,513.28
  4. Step 4: Simplify right side
    15,586.86x = 183,119,120.41
  5. Step 5: Solve for x
    x = 183,119,120.41/15,586.86
  6. Step 6: Final answer
    x = 11,748.30

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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.