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Finding the Fourth Proportional to 23,075.94, 34,590.92 and 9,752.30

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Solution

The fourth proportional to 23,075.94, 34,590.92 and 9,752.30 is: 14,618.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,075.94 : 34,590.92 = 9,752.30 : x
  2. Step 2: Convert to fraction form
    23,075.94/34,590.92 = 9,752.30/x
  3. Step 3: Cross multiply
    23,075.94x = 34,590.92 × 9,752.30
  4. Step 4: Simplify right side
    23,075.94x = 337,340,937.12
  5. Step 5: Solve for x
    x = 337,340,937.12/23,075.94
  6. Step 6: Final answer
    x = 14,618.73

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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.