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Finding the Fourth Proportional to 15,465.64, 23,187.66 and 4,932.16

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Solution

The fourth proportional to 15,465.64, 23,187.66 and 4,932.16 is: 7,394.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,465.64 : 23,187.66 = 4,932.16 : x
  2. Step 2: Convert to fraction form
    15,465.64/23,187.66 = 4,932.16/x
  3. Step 3: Cross multiply
    15,465.64x = 23,187.66 × 4,932.16
  4. Step 4: Simplify right side
    15,465.64x = 114,365,249.15
  5. Step 5: Solve for x
    x = 114,365,249.15/15,465.64
  6. Step 6: Final answer
    x = 7,394.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.