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Finding the Fourth Proportional to 12,421.40, 18,632.10 and 9,140.90

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Solution

The fourth proportional to 12,421.40, 18,632.10 and 9,140.90 is: 13,711.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,421.40 : 18,632.10 = 9,140.90 : x
  2. Step 2: Convert to fraction form
    12,421.40/18,632.10 = 9,140.90/x
  3. Step 3: Cross multiply
    12,421.40x = 18,632.10 × 9,140.90
  4. Step 4: Simplify right side
    12,421.40x = 170,314,162.89
  5. Step 5: Solve for x
    x = 170,314,162.89/12,421.40
  6. Step 6: Final answer
    x = 13,711.35

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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.