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Finding the Fourth Proportional to 15,597.39, 21,523.39 and 8,523.82

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Solution

The fourth proportional to 15,597.39, 21,523.39 and 8,523.82 is: 11,762.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,597.39 : 21,523.39 = 8,523.82 : x
  2. Step 2: Convert to fraction form
    15,597.39/21,523.39 = 8,523.82/x
  3. Step 3: Cross multiply
    15,597.39x = 21,523.39 × 8,523.82
  4. Step 4: Simplify right side
    15,597.39x = 183,461,502.15
  5. Step 5: Solve for x
    x = 183,461,502.15/15,597.39
  6. Step 6: Final answer
    x = 11,762.32

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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.