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Finding the Fourth Proportional to 19,564.67, 29,347.00 and 7,875.16

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Solution

The fourth proportional to 19,564.67, 29,347.00 and 7,875.16 is: 11,812.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,564.67 : 29,347.00 = 7,875.16 : x
  2. Step 2: Convert to fraction form
    19,564.67/29,347.00 = 7,875.16/x
  3. Step 3: Cross multiply
    19,564.67x = 29,347.00 × 7,875.16
  4. Step 4: Simplify right side
    19,564.67x = 231,112,227.46
  5. Step 5: Solve for x
    x = 231,112,227.46/19,564.67
  6. Step 6: Final answer
    x = 11,812.73

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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.