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Finding the Fourth Proportional to 22,987.81, 34,459.80 and 7,394.50

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Solution

The fourth proportional to 22,987.81, 34,459.80 and 7,394.50 is: 11,084.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,987.81 : 34,459.80 = 7,394.50 : x
  2. Step 2: Convert to fraction form
    22,987.81/34,459.80 = 7,394.50/x
  3. Step 3: Cross multiply
    22,987.81x = 34,459.80 × 7,394.50
  4. Step 4: Simplify right side
    22,987.81x = 254,812,991.10
  5. Step 5: Solve for x
    x = 254,812,991.10/22,987.81
  6. Step 6: Final answer
    x = 11,084.70

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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.