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Finding the Fourth Proportional to 15,904.92, 23,830.84 and 7,007.01

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Solution

The fourth proportional to 15,904.92, 23,830.84 and 7,007.01 is: 10,498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,904.92 : 23,830.84 = 7,007.01 : x
  2. Step 2: Convert to fraction form
    15,904.92/23,830.84 = 7,007.01/x
  3. Step 3: Cross multiply
    15,904.92x = 23,830.84 × 7,007.01
  4. Step 4: Simplify right side
    15,904.92x = 166,982,934.19
  5. Step 5: Solve for x
    x = 166,982,934.19/15,904.92
  6. Step 6: Final answer
    x = 10,498.82

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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.