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Finding the Fourth Proportional to 12,135.72, 16,697.18 and 9,478.50

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Solution

The fourth proportional to 12,135.72, 16,697.18 and 9,478.50 is: 13,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.72 : 16,697.18 = 9,478.50 : x
  2. Step 2: Convert to fraction form
    12,135.72/16,697.18 = 9,478.50/x
  3. Step 3: Cross multiply
    12,135.72x = 16,697.18 × 9,478.50
  4. Step 4: Simplify right side
    12,135.72x = 158,264,220.63
  5. Step 5: Solve for x
    x = 158,264,220.63/12,135.72
  6. Step 6: Final answer
    x = 13,041.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.