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Finding the Fourth Proportional to 21,602.81, 32,331.03 and 13,288.10

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Solution

The fourth proportional to 21,602.81, 32,331.03 and 13,288.10 is: 19,887.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,602.81 : 32,331.03 = 13,288.10 : x
  2. Step 2: Convert to fraction form
    21,602.81/32,331.03 = 13,288.10/x
  3. Step 3: Cross multiply
    21,602.81x = 32,331.03 × 13,288.10
  4. Step 4: Simplify right side
    21,602.81x = 429,617,959.74
  5. Step 5: Solve for x
    x = 429,617,959.74/21,602.81
  6. Step 6: Final answer
    x = 19,887.13

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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.