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Finding the Fourth Proportional to 21,033, 31,560.30 and 10,645.02

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Solution

The fourth proportional to 21,033, 31,560.30 and 10,645.02 is: 15,973.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,033 : 31,560.30 = 10,645.02 : x
  2. Step 2: Convert to fraction form
    21,033/31,560.30 = 10,645.02/x
  3. Step 3: Cross multiply
    21,033x = 31,560.30 × 10,645.02
  4. Step 4: Simplify right side
    21,033x = 335,960,024.71
  5. Step 5: Solve for x
    x = 335,960,024.71/21,033
  6. Step 6: Final answer
    x = 15,973.00

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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.