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Finding the Fourth Proportional to 24,196.16, 36,300.16 and 9,406.08

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Solution

The fourth proportional to 24,196.16, 36,300.16 and 9,406.08 is: 14,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,196.16 : 36,300.16 = 9,406.08 : x
  2. Step 2: Convert to fraction form
    24,196.16/36,300.16 = 9,406.08/x
  3. Step 3: Cross multiply
    24,196.16x = 36,300.16 × 9,406.08
  4. Step 4: Simplify right side
    24,196.16x = 341,442,208.97
  5. Step 5: Solve for x
    x = 341,442,208.97/24,196.16
  6. Step 6: Final answer
    x = 14,111.42

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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.