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Finding the Fourth Proportional to 12,307.80, 18,461.70 and 7,374.90

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Solution

The fourth proportional to 12,307.80, 18,461.70 and 7,374.90 is: 11,062.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.80 : 18,461.70 = 7,374.90 : x
  2. Step 2: Convert to fraction form
    12,307.80/18,461.70 = 7,374.90/x
  3. Step 3: Cross multiply
    12,307.80x = 18,461.70 × 7,374.90
  4. Step 4: Simplify right side
    12,307.80x = 136,153,191.33
  5. Step 5: Solve for x
    x = 136,153,191.33/12,307.80
  6. Step 6: Final answer
    x = 11,062.35

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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.