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Finding the Fourth Proportional to 16,574.16, 24,867.64 and 7,340.24

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Solution

The fourth proportional to 16,574.16, 24,867.64 and 7,340.24 is: 11,013.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,574.16 : 24,867.64 = 7,340.24 : x
  2. Step 2: Convert to fraction form
    16,574.16/24,867.64 = 7,340.24/x
  3. Step 3: Cross multiply
    16,574.16x = 24,867.64 × 7,340.24
  4. Step 4: Simplify right side
    16,574.16x = 182,534,445.83
  5. Step 5: Solve for x
    x = 182,534,445.83/16,574.16
  6. Step 6: Final answer
    x = 11,013.19

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1.5x scale

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.