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Finding the Fourth Proportional to 28,366.32, 42,521.68 and 10,584

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Solution

The fourth proportional to 28,366.32, 42,521.68 and 10,584 is: 15,865.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,366.32 : 42,521.68 = 10,584 : x
  2. Step 2: Convert to fraction form
    28,366.32/42,521.68 = 10,584/x
  3. Step 3: Cross multiply
    28,366.32x = 42,521.68 × 10,584
  4. Step 4: Simplify right side
    28,366.32x = 450,049,461.12
  5. Step 5: Solve for x
    x = 450,049,461.12/28,366.32
  6. Step 6: Final answer
    x = 15,865.63

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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.