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Finding the Fourth Proportional to 15,117, 20,861.55 and 8,828.16

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Solution

The fourth proportional to 15,117, 20,861.55 and 8,828.16 is: 12,182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,117 : 20,861.55 = 8,828.16 : x
  2. Step 2: Convert to fraction form
    15,117/20,861.55 = 8,828.16/x
  3. Step 3: Cross multiply
    15,117x = 20,861.55 × 8,828.16
  4. Step 4: Simplify right side
    15,117x = 184,169,101.25
  5. Step 5: Solve for x
    x = 184,169,101.25/15,117
  6. Step 6: Final answer
    x = 12,182.91

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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.