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Finding the Fourth Proportional to 14,419.16, 19,886.01 and 9,381.54

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Solution

The fourth proportional to 14,419.16, 19,886.01 and 9,381.54 is: 12,938.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.16 : 19,886.01 = 9,381.54 : x
  2. Step 2: Convert to fraction form
    14,419.16/19,886.01 = 9,381.54/x
  3. Step 3: Cross multiply
    14,419.16x = 19,886.01 × 9,381.54
  4. Step 4: Simplify right side
    14,419.16x = 186,561,398.26
  5. Step 5: Solve for x
    x = 186,561,398.26/14,419.16
  6. Step 6: Final answer
    x = 12,938.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.