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Finding the Fourth Proportional to 23,187.84, 34,774.56 and 7,602

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Solution

The fourth proportional to 23,187.84, 34,774.56 and 7,602 is: 11,400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,187.84 : 34,774.56 = 7,602 : x
  2. Step 2: Convert to fraction form
    23,187.84/34,774.56 = 7,602/x
  3. Step 3: Cross multiply
    23,187.84x = 34,774.56 × 7,602
  4. Step 4: Simplify right side
    23,187.84x = 264,356,205.12
  5. Step 5: Solve for x
    x = 264,356,205.12/23,187.84
  6. Step 6: Final answer
    x = 11,400.64

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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.