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Finding the Fourth Proportional to 14,242.43, 19,657.18 and 8,275.57

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Solution

The fourth proportional to 14,242.43, 19,657.18 and 8,275.57 is: 11,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.43 : 19,657.18 = 8,275.57 : x
  2. Step 2: Convert to fraction form
    14,242.43/19,657.18 = 8,275.57/x
  3. Step 3: Cross multiply
    14,242.43x = 19,657.18 × 8,275.57
  4. Step 4: Simplify right side
    14,242.43x = 162,674,330.29
  5. Step 5: Solve for x
    x = 162,674,330.29/14,242.43
  6. Step 6: Final answer
    x = 11,421.81

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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.