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Finding the Fourth Proportional to 21,041.48, 31,567.72 and 7,894.10

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Solution

The fourth proportional to 21,041.48, 31,567.72 and 7,894.10 is: 11,843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,041.48 : 31,567.72 = 7,894.10 : x
  2. Step 2: Convert to fraction form
    21,041.48/31,567.72 = 7,894.10/x
  3. Step 3: Cross multiply
    21,041.48x = 31,567.72 × 7,894.10
  4. Step 4: Simplify right side
    21,041.48x = 249,198,738.45
  5. Step 5: Solve for x
    x = 249,198,738.45/21,041.48
  6. Step 6: Final answer
    x = 11,843.21

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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.