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Finding the Fourth Proportional to 14,368.61, 19,822.16 and 10,383.41

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Solution

The fourth proportional to 14,368.61, 19,822.16 and 10,383.41 is: 14,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,368.61 : 19,822.16 = 10,383.41 : x
  2. Step 2: Convert to fraction form
    14,368.61/19,822.16 = 10,383.41/x
  3. Step 3: Cross multiply
    14,368.61x = 19,822.16 × 10,383.41
  4. Step 4: Simplify right side
    14,368.61x = 205,821,541.21
  5. Step 5: Solve for x
    x = 205,821,541.21/14,368.61
  6. Step 6: Final answer
    x = 14,324.39

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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.