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Finding the Fourth Proportional to 15,904.42, 23,830.09 and 7,006.51

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Solution

The fourth proportional to 15,904.42, 23,830.09 and 7,006.51 is: 10,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,904.42 : 23,830.09 = 7,006.51 : x
  2. Step 2: Convert to fraction form
    15,904.42/23,830.09 = 7,006.51/x
  3. Step 3: Cross multiply
    15,904.42x = 23,830.09 × 7,006.51
  4. Step 4: Simplify right side
    15,904.42x = 166,965,763.89
  5. Step 5: Solve for x
    x = 166,965,763.89/15,904.42
  6. Step 6: Final answer
    x = 10,498.07

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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.