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Finding the Fourth Proportional to 15,699.16, 23,518.86 and 9,361

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Solution

The fourth proportional to 15,699.16, 23,518.86 and 9,361 is: 14,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,699.16 : 23,518.86 = 9,361 : x
  2. Step 2: Convert to fraction form
    15,699.16/23,518.86 = 9,361/x
  3. Step 3: Cross multiply
    15,699.16x = 23,518.86 × 9,361
  4. Step 4: Simplify right side
    15,699.16x = 220,160,048.46
  5. Step 5: Solve for x
    x = 220,160,048.46/15,699.16
  6. Step 6: Final answer
    x = 14,023.68

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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.