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Finding the Fourth Proportional to 28,656.32, 42,988.80 and 10,184

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Solution

The fourth proportional to 28,656.32, 42,988.80 and 10,184 is: 15,277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,656.32 : 42,988.80 = 10,184 : x
  2. Step 2: Convert to fraction form
    28,656.32/42,988.80 = 10,184/x
  3. Step 3: Cross multiply
    28,656.32x = 42,988.80 × 10,184
  4. Step 4: Simplify right side
    28,656.32x = 437,797,939.20
  5. Step 5: Solve for x
    x = 437,797,939.20/28,656.32
  6. Step 6: Final answer
    x = 15,277.54

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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.