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Finding the Fourth Proportional to 16,075.67, 24,113.28 and 9,752.06

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Solution

The fourth proportional to 16,075.67, 24,113.28 and 9,752.06 is: 14,627.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,075.67 : 24,113.28 = 9,752.06 : x
  2. Step 2: Convert to fraction form
    16,075.67/24,113.28 = 9,752.06/x
  3. Step 3: Cross multiply
    16,075.67x = 24,113.28 × 9,752.06
  4. Step 4: Simplify right side
    16,075.67x = 235,154,032.79
  5. Step 5: Solve for x
    x = 235,154,032.79/16,075.67
  6. Step 6: Final answer
    x = 14,627.95

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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.