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Finding the Fourth Proportional to 14,140.01, 19,513.25 and 7,852.39

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Solution

The fourth proportional to 14,140.01, 19,513.25 and 7,852.39 is: 10,836.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.01 : 19,513.25 = 7,852.39 : x
  2. Step 2: Convert to fraction form
    14,140.01/19,513.25 = 7,852.39/x
  3. Step 3: Cross multiply
    14,140.01x = 19,513.25 × 7,852.39
  4. Step 4: Simplify right side
    14,140.01x = 153,225,512.34
  5. Step 5: Solve for x
    x = 153,225,512.34/14,140.01
  6. Step 6: Final answer
    x = 10,836.31

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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.