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Finding the Fourth Proportional to 23,023, 34,534.50 and 6,607

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Solution

The fourth proportional to 23,023, 34,534.50 and 6,607 is: 9,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,023 : 34,534.50 = 6,607 : x
  2. Step 2: Convert to fraction form
    23,023/34,534.50 = 6,607/x
  3. Step 3: Cross multiply
    23,023x = 34,534.50 × 6,607
  4. Step 4: Simplify right side
    23,023x = 228,169,441.50
  5. Step 5: Solve for x
    x = 228,169,441.50/23,023
  6. Step 6: Final answer
    x = 9,910.50

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