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Finding the Fourth Proportional to 21,357.78, 32,002.06 and 13,012.48

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Solution

The fourth proportional to 21,357.78, 32,002.06 and 13,012.48 is: 19,497.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,357.78 : 32,002.06 = 13,012.48 : x
  2. Step 2: Convert to fraction form
    21,357.78/32,002.06 = 13,012.48/x
  3. Step 3: Cross multiply
    21,357.78x = 32,002.06 × 13,012.48
  4. Step 4: Simplify right side
    21,357.78x = 416,426,165.71
  5. Step 5: Solve for x
    x = 416,426,165.71/21,357.78
  6. Step 6: Final answer
    x = 19,497.63

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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.