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Finding the Fourth Proportional to 14,242.72, 19,653.50 and 8,275.66

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Solution

The fourth proportional to 14,242.72, 19,653.50 and 8,275.66 is: 11,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,242.72 : 19,653.50 = 8,275.66 : x
  2. Step 2: Convert to fraction form
    14,242.72/19,653.50 = 8,275.66/x
  3. Step 3: Cross multiply
    14,242.72x = 19,653.50 × 8,275.66
  4. Step 4: Simplify right side
    14,242.72x = 162,645,683.81
  5. Step 5: Solve for x
    x = 162,645,683.81/14,242.72
  6. Step 6: Final answer
    x = 11,419.57

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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.