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Finding the Fourth Proportional to 12,536.70, 17,300.94 and 7,501.38

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Solution

The fourth proportional to 12,536.70, 17,300.94 and 7,501.38 is: 10,352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536.70 : 17,300.94 = 7,501.38 : x
  2. Step 2: Convert to fraction form
    12,536.70/17,300.94 = 7,501.38/x
  3. Step 3: Cross multiply
    12,536.70x = 17,300.94 × 7,501.38
  4. Step 4: Simplify right side
    12,536.70x = 129,780,925.30
  5. Step 5: Solve for x
    x = 129,780,925.30/12,536.70
  6. Step 6: Final answer
    x = 10,352.08

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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.