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Finding the Fourth Proportional to 10,314, 14,224.68 and 8,888.40

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Solution

The fourth proportional to 10,314, 14,224.68 and 8,888.40 is: 12,258.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314 : 14,224.68 = 8,888.40 : x
  2. Step 2: Convert to fraction form
    10,314/14,224.68 = 8,888.40/x
  3. Step 3: Cross multiply
    10,314x = 14,224.68 × 8,888.40
  4. Step 4: Simplify right side
    10,314x = 126,434,645.71
  5. Step 5: Solve for x
    x = 126,434,645.71/10,314
  6. Step 6: Final answer
    x = 12,258.55

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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.