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Finding the Fourth Proportional to 15,854.63, 23,780.06 and 4,168.76

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Solution

The fourth proportional to 15,854.63, 23,780.06 and 4,168.76 is: 6,252.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854.63 : 23,780.06 = 4,168.76 : x
  2. Step 2: Convert to fraction form
    15,854.63/23,780.06 = 4,168.76/x
  3. Step 3: Cross multiply
    15,854.63x = 23,780.06 × 4,168.76
  4. Step 4: Simplify right side
    15,854.63x = 99,133,342.08
  5. Step 5: Solve for x
    x = 99,133,342.08/15,854.63
  6. Step 6: Final answer
    x = 6,252.64

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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.