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Finding the Fourth Proportional to 24,716, 37,075.58 and 9,922.96

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Solution

The fourth proportional to 24,716, 37,075.58 and 9,922.96 is: 14,885.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,716 : 37,075.58 = 9,922.96 : x
  2. Step 2: Convert to fraction form
    24,716/37,075.58 = 9,922.96/x
  3. Step 3: Cross multiply
    24,716x = 37,075.58 × 9,922.96
  4. Step 4: Simplify right side
    24,716x = 367,899,497.32
  5. Step 5: Solve for x
    x = 367,899,497.32/24,716
  6. Step 6: Final answer
    x = 14,885.07

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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.