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Finding the Fourth Proportional to 12,365.24, 17,064.12 and 7,332

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Solution

The fourth proportional to 12,365.24, 17,064.12 and 7,332 is: 10,118.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,365.24 : 17,064.12 = 7,332 : x
  2. Step 2: Convert to fraction form
    12,365.24/17,064.12 = 7,332/x
  3. Step 3: Cross multiply
    12,365.24x = 17,064.12 × 7,332
  4. Step 4: Simplify right side
    12,365.24x = 125,114,127.84
  5. Step 5: Solve for x
    x = 125,114,127.84/12,365.24
  6. Step 6: Final answer
    x = 10,118.22

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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.