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Finding the Fourth Proportional to 15,870.92, 23,800.62 and 6,005.12

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Solution

The fourth proportional to 15,870.92, 23,800.62 and 6,005.12 is: 9,005.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,870.92 : 23,800.62 = 6,005.12 : x
  2. Step 2: Convert to fraction form
    15,870.92/23,800.62 = 6,005.12/x
  3. Step 3: Cross multiply
    15,870.92x = 23,800.62 × 6,005.12
  4. Step 4: Simplify right side
    15,870.92x = 142,925,579.17
  5. Step 5: Solve for x
    x = 142,925,579.17/15,870.92
  6. Step 6: Final answer
    x = 9,005.50

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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.