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Finding the Fourth Proportional to 14,389.84, 19,828.38 and 11,032.48

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Solution

The fourth proportional to 14,389.84, 19,828.38 and 11,032.48 is: 15,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,389.84 : 19,828.38 = 11,032.48 : x
  2. Step 2: Convert to fraction form
    14,389.84/19,828.38 = 11,032.48/x
  3. Step 3: Cross multiply
    14,389.84x = 19,828.38 × 11,032.48
  4. Step 4: Simplify right side
    14,389.84x = 218,756,205.78
  5. Step 5: Solve for x
    x = 218,756,205.78/14,389.84
  6. Step 6: Final answer
    x = 15,202.13

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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.