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Finding the Fourth Proportional to 12,641.50, 18,962.10 and 9,870.46

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Solution

The fourth proportional to 12,641.50, 18,962.10 and 9,870.46 is: 14,805.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.50 : 18,962.10 = 9,870.46 : x
  2. Step 2: Convert to fraction form
    12,641.50/18,962.10 = 9,870.46/x
  3. Step 3: Cross multiply
    12,641.50x = 18,962.10 × 9,870.46
  4. Step 4: Simplify right side
    12,641.50x = 187,164,602.16
  5. Step 5: Solve for x
    x = 187,164,602.16/12,641.50
  6. Step 6: Final answer
    x = 14,805.57

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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.