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Finding the Fourth Proportional to 15,607.38, 21,538.04 and 8,533.82

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Solution

The fourth proportional to 15,607.38, 21,538.04 and 8,533.82 is: 11,776.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,607.38 : 21,538.04 = 8,533.82 : x
  2. Step 2: Convert to fraction form
    15,607.38/21,538.04 = 8,533.82/x
  3. Step 3: Cross multiply
    15,607.38x = 21,538.04 × 8,533.82
  4. Step 4: Simplify right side
    15,607.38x = 183,801,756.51
  5. Step 5: Solve for x
    x = 183,801,756.51/15,607.38
  6. Step 6: Final answer
    x = 11,776.59

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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.