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Finding the Fourth Proportional to 24,763.84, 37,145.28 and 6,044

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Solution

The fourth proportional to 24,763.84, 37,145.28 and 6,044 is: 9,065.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,763.84 : 37,145.28 = 6,044 : x
  2. Step 2: Convert to fraction form
    24,763.84/37,145.28 = 6,044/x
  3. Step 3: Cross multiply
    24,763.84x = 37,145.28 × 6,044
  4. Step 4: Simplify right side
    24,763.84x = 224,506,072.32
  5. Step 5: Solve for x
    x = 224,506,072.32/24,763.84
  6. Step 6: Final answer
    x = 9,065.88

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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.