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Finding the Fourth Proportional to 28,564.32, 42,858 and 12,966.24

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Solution

The fourth proportional to 28,564.32, 42,858 and 12,966.24 is: 19,454.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,564.32 : 42,858 = 12,966.24 : x
  2. Step 2: Convert to fraction form
    28,564.32/42,858 = 12,966.24/x
  3. Step 3: Cross multiply
    28,564.32x = 42,858 × 12,966.24
  4. Step 4: Simplify right side
    28,564.32x = 555,707,113.92
  5. Step 5: Solve for x
    x = 555,707,113.92/28,564.32
  6. Step 6: Final answer
    x = 19,454.59

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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.