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Finding the Fourth Proportional to 12,368.70, 18,563.85 and 9,897.30

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Solution

The fourth proportional to 12,368.70, 18,563.85 and 9,897.30 is: 14,854.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,368.70 : 18,563.85 = 9,897.30 : x
  2. Step 2: Convert to fraction form
    12,368.70/18,563.85 = 9,897.30/x
  3. Step 3: Cross multiply
    12,368.70x = 18,563.85 × 9,897.30
  4. Step 4: Simplify right side
    12,368.70x = 183,731,992.61
  5. Step 5: Solve for x
    x = 183,731,992.61/12,368.70
  6. Step 6: Final answer
    x = 14,854.59

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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.