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Finding the Fourth Proportional to 21,533.72, 32,242.64 and 12,159.68

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Solution

The fourth proportional to 21,533.72, 32,242.64 and 12,159.68 is: 18,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533.72 : 32,242.64 = 12,159.68 : x
  2. Step 2: Convert to fraction form
    21,533.72/32,242.64 = 12,159.68/x
  3. Step 3: Cross multiply
    21,533.72x = 32,242.64 × 12,159.68
  4. Step 4: Simplify right side
    21,533.72x = 392,060,184.76
  5. Step 5: Solve for x
    x = 392,060,184.76/21,533.72
  6. Step 6: Final answer
    x = 18,206.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.