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Finding the Fourth Proportional to 14,398.51, 21,569.11 and 11,442.01

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Solution

The fourth proportional to 14,398.51, 21,569.11 and 11,442.01 is: 17,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,398.51 : 21,569.11 = 11,442.01 : x
  2. Step 2: Convert to fraction form
    14,398.51/21,569.11 = 11,442.01/x
  3. Step 3: Cross multiply
    14,398.51x = 21,569.11 × 11,442.01
  4. Step 4: Simplify right side
    14,398.51x = 246,793,972.31
  5. Step 5: Solve for x
    x = 246,793,972.31/14,398.51
  6. Step 6: Final answer
    x = 17,140.24

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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.