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Finding the Fourth Proportional to 12,658.40, 18,971.40 and 6,070.40

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Solution

The fourth proportional to 12,658.40, 18,971.40 and 6,070.40 is: 9,097.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.40 : 18,971.40 = 6,070.40 : x
  2. Step 2: Convert to fraction form
    12,658.40/18,971.40 = 6,070.40/x
  3. Step 3: Cross multiply
    12,658.40x = 18,971.40 × 6,070.40
  4. Step 4: Simplify right side
    12,658.40x = 115,163,986.56
  5. Step 5: Solve for x
    x = 115,163,986.56/12,658.40
  6. Step 6: Final answer
    x = 9,097.83

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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.