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Finding the Fourth Proportional to 12,953.20, 19,430.87 and 5,458.93

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Solution

The fourth proportional to 12,953.20, 19,430.87 and 5,458.93 is: 8,188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.20 : 19,430.87 = 5,458.93 : x
  2. Step 2: Convert to fraction form
    12,953.20/19,430.87 = 5,458.93/x
  3. Step 3: Cross multiply
    12,953.20x = 19,430.87 × 5,458.93
  4. Step 4: Simplify right side
    12,953.20x = 106,071,759.17
  5. Step 5: Solve for x
    x = 106,071,759.17/12,953.20
  6. Step 6: Final answer
    x = 8,188.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.