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Finding the Fourth Proportional to 14,162.39, 19,543.68 and 7,788.96

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Solution

The fourth proportional to 14,162.39, 19,543.68 and 7,788.96 is: 10,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,162.39 : 19,543.68 = 7,788.96 : x
  2. Step 2: Convert to fraction form
    14,162.39/19,543.68 = 7,788.96/x
  3. Step 3: Cross multiply
    14,162.39x = 19,543.68 × 7,788.96
  4. Step 4: Simplify right side
    14,162.39x = 152,224,941.77
  5. Step 5: Solve for x
    x = 152,224,941.77/14,162.39
  6. Step 6: Final answer
    x = 10,748.53

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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.