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Finding the Fourth Proportional to 21,571.50, 32,368.87 and 9,100.17

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Solution

The fourth proportional to 21,571.50, 32,368.87 and 9,100.17 is: 13,655.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,571.50 : 32,368.87 = 9,100.17 : x
  2. Step 2: Convert to fraction form
    21,571.50/32,368.87 = 9,100.17/x
  3. Step 3: Cross multiply
    21,571.50x = 32,368.87 × 9,100.17
  4. Step 4: Simplify right side
    21,571.50x = 294,562,219.71
  5. Step 5: Solve for x
    x = 294,562,219.71/21,571.50
  6. Step 6: Final answer
    x = 13,655.16

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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.