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Finding the Fourth Proportional to 14,378.57, 19,853.24 and 14,148.93

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Solution

The fourth proportional to 14,378.57, 19,853.24 and 14,148.93 is: 19,536.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,378.57 : 19,853.24 = 14,148.93 : x
  2. Step 2: Convert to fraction form
    14,378.57/19,853.24 = 14,148.93/x
  3. Step 3: Cross multiply
    14,378.57x = 19,853.24 × 14,148.93
  4. Step 4: Simplify right side
    14,378.57x = 280,902,103.03
  5. Step 5: Solve for x
    x = 280,902,103.03/14,378.57
  6. Step 6: Final answer
    x = 19,536.16

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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.