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Finding the Fourth Proportional to 15,630.86, 23,430.09 and 9,774.02

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Solution

The fourth proportional to 15,630.86, 23,430.09 and 9,774.02 is: 14,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,630.86 : 23,430.09 = 9,774.02 : x
  2. Step 2: Convert to fraction form
    15,630.86/23,430.09 = 9,774.02/x
  3. Step 3: Cross multiply
    15,630.86x = 23,430.09 × 9,774.02
  4. Step 4: Simplify right side
    15,630.86x = 229,006,168.26
  5. Step 5: Solve for x
    x = 229,006,168.26/15,630.86
  6. Step 6: Final answer
    x = 14,650.90

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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.