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Finding the Fourth Proportional to 21,047.40, 31,569.86 and 7,898.66

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Solution

The fourth proportional to 21,047.40, 31,569.86 and 7,898.66 is: 11,847.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,047.40 : 31,569.86 = 7,898.66 : x
  2. Step 2: Convert to fraction form
    21,047.40/31,569.86 = 7,898.66/x
  3. Step 3: Cross multiply
    21,047.40x = 31,569.86 × 7,898.66
  4. Step 4: Simplify right side
    21,047.40x = 249,359,590.39
  5. Step 5: Solve for x
    x = 249,359,590.39/21,047.40
  6. Step 6: Final answer
    x = 11,847.52

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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.