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Finding the Fourth Proportional to 14,743.95, 22,091.28 and 6,411.48

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Solution

The fourth proportional to 14,743.95, 22,091.28 and 6,411.48 is: 9,606.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,743.95 : 22,091.28 = 6,411.48 : x
  2. Step 2: Convert to fraction form
    14,743.95/22,091.28 = 6,411.48/x
  3. Step 3: Cross multiply
    14,743.95x = 22,091.28 × 6,411.48
  4. Step 4: Simplify right side
    14,743.95x = 141,637,799.89
  5. Step 5: Solve for x
    x = 141,637,799.89/14,743.95
  6. Step 6: Final answer
    x = 9,606.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.