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Finding the Fourth Proportional to 12,152.23, 18,196.80 and 10,408.45

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Solution

The fourth proportional to 12,152.23, 18,196.80 and 10,408.45 is: 15,585.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.23 : 18,196.80 = 10,408.45 : x
  2. Step 2: Convert to fraction form
    12,152.23/18,196.80 = 10,408.45/x
  3. Step 3: Cross multiply
    12,152.23x = 18,196.80 × 10,408.45
  4. Step 4: Simplify right side
    12,152.23x = 189,400,482.96
  5. Step 5: Solve for x
    x = 189,400,482.96/12,152.23
  6. Step 6: Final answer
    x = 15,585.66

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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.