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Finding the Fourth Proportional to 15,800.07, 23,707.02 and 7,486.02

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Solution

The fourth proportional to 15,800.07, 23,707.02 and 7,486.02 is: 11,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,800.07 : 23,707.02 = 7,486.02 : x
  2. Step 2: Convert to fraction form
    15,800.07/23,707.02 = 7,486.02/x
  3. Step 3: Cross multiply
    15,800.07x = 23,707.02 × 7,486.02
  4. Step 4: Simplify right side
    15,800.07x = 177,471,225.86
  5. Step 5: Solve for x
    x = 177,471,225.86/15,800.07
  6. Step 6: Final answer
    x = 11,232.31

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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.