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Finding the Fourth Proportional to 21,392.34, 32,061.75 and 10,296.06

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Solution

The fourth proportional to 21,392.34, 32,061.75 and 10,296.06 is: 15,431.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,392.34 : 32,061.75 = 10,296.06 : x
  2. Step 2: Convert to fraction form
    21,392.34/32,061.75 = 10,296.06/x
  3. Step 3: Cross multiply
    21,392.34x = 32,061.75 × 10,296.06
  4. Step 4: Simplify right side
    21,392.34x = 330,109,701.71
  5. Step 5: Solve for x
    x = 330,109,701.71/21,392.34
  6. Step 6: Final answer
    x = 15,431.21

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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.