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Finding the Fourth Proportional to 16,482.40, 24,726 and 4,794.08

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Solution

The fourth proportional to 16,482.40, 24,726 and 4,794.08 is: 7,191.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,482.40 : 24,726 = 4,794.08 : x
  2. Step 2: Convert to fraction form
    16,482.40/24,726 = 4,794.08/x
  3. Step 3: Cross multiply
    16,482.40x = 24,726 × 4,794.08
  4. Step 4: Simplify right side
    16,482.40x = 118,538,422.08
  5. Step 5: Solve for x
    x = 118,538,422.08/16,482.40
  6. Step 6: Final answer
    x = 7,191.82

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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.