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Finding the Fourth Proportional to 12,564.45, 17,332.95 and 7,526.25

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Solution

The fourth proportional to 12,564.45, 17,332.95 and 7,526.25 is: 10,382.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.45 : 17,332.95 = 7,526.25 : x
  2. Step 2: Convert to fraction form
    12,564.45/17,332.95 = 7,526.25/x
  3. Step 3: Cross multiply
    12,564.45x = 17,332.95 × 7,526.25
  4. Step 4: Simplify right side
    12,564.45x = 130,452,114.94
  5. Step 5: Solve for x
    x = 130,452,114.94/12,564.45
  6. Step 6: Final answer
    x = 10,382.64

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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.