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Finding the Fourth Proportional to 17,775.46, 24,529.66 and 9,817.53

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Solution

The fourth proportional to 17,775.46, 24,529.66 and 9,817.53 is: 13,547.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,775.46 : 24,529.66 = 9,817.53 : x
  2. Step 2: Convert to fraction form
    17,775.46/24,529.66 = 9,817.53/x
  3. Step 3: Cross multiply
    17,775.46x = 24,529.66 × 9,817.53
  4. Step 4: Simplify right side
    17,775.46x = 240,820,672.94
  5. Step 5: Solve for x
    x = 240,820,672.94/17,775.46
  6. Step 6: Final answer
    x = 13,547.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.