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Finding the Fourth Proportional to 21,605.12, 32,407.68 and 11,195

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Solution

The fourth proportional to 21,605.12, 32,407.68 and 11,195 is: 16,792.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,605.12 : 32,407.68 = 11,195 : x
  2. Step 2: Convert to fraction form
    21,605.12/32,407.68 = 11,195/x
  3. Step 3: Cross multiply
    21,605.12x = 32,407.68 × 11,195
  4. Step 4: Simplify right side
    21,605.12x = 362,803,977.60
  5. Step 5: Solve for x
    x = 362,803,977.60/21,605.12
  6. Step 6: Final answer
    x = 16,792.50

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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.