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Finding the Fourth Proportional to 17,663.68, 26,495.52 and 7,813

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Solution

The fourth proportional to 17,663.68, 26,495.52 and 7,813 is: 11,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,663.68 : 26,495.52 = 7,813 : x
  2. Step 2: Convert to fraction form
    17,663.68/26,495.52 = 7,813/x
  3. Step 3: Cross multiply
    17,663.68x = 26,495.52 × 7,813
  4. Step 4: Simplify right side
    17,663.68x = 207,009,497.76
  5. Step 5: Solve for x
    x = 207,009,497.76/17,663.68
  6. Step 6: Final answer
    x = 11,719.50

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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.