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Finding the Fourth Proportional to 12,415.80, 18,623.70 and 9,143.40

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Solution

The fourth proportional to 12,415.80, 18,623.70 and 9,143.40 is: 13,715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.80 : 18,623.70 = 9,143.40 : x
  2. Step 2: Convert to fraction form
    12,415.80/18,623.70 = 9,143.40/x
  3. Step 3: Cross multiply
    12,415.80x = 18,623.70 × 9,143.40
  4. Step 4: Simplify right side
    12,415.80x = 170,283,938.58
  5. Step 5: Solve for x
    x = 170,283,938.58/12,415.80
  6. Step 6: Final answer
    x = 13,715.10

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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.