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Finding the Fourth Proportional to 13,176.50, 19,733.08 and 7,537.08

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Solution

The fourth proportional to 13,176.50, 19,733.08 and 7,537.08 is: 11,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,176.50 : 19,733.08 = 7,537.08 : x
  2. Step 2: Convert to fraction form
    13,176.50/19,733.08 = 7,537.08/x
  3. Step 3: Cross multiply
    13,176.50x = 19,733.08 × 7,537.08
  4. Step 4: Simplify right side
    13,176.50x = 148,729,802.61
  5. Step 5: Solve for x
    x = 148,729,802.61/13,176.50
  6. Step 6: Final answer
    x = 11,287.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.