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Finding the Fourth Proportional to 12,023.60, 18,010.90 and 9,810.32

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Solution

The fourth proportional to 12,023.60, 18,010.90 and 9,810.32 is: 14,695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.60 : 18,010.90 = 9,810.32 : x
  2. Step 2: Convert to fraction form
    12,023.60/18,010.90 = 9,810.32/x
  3. Step 3: Cross multiply
    12,023.60x = 18,010.90 × 9,810.32
  4. Step 4: Simplify right side
    12,023.60x = 176,692,553.38
  5. Step 5: Solve for x
    x = 176,692,553.38/12,023.60
  6. Step 6: Final answer
    x = 14,695.48

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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.