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Finding the Fourth Proportional to 25,244.10, 37,842 and 9,444.84

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Solution

The fourth proportional to 25,244.10, 37,842 and 9,444.84 is: 14,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,244.10 : 37,842 = 9,444.84 : x
  2. Step 2: Convert to fraction form
    25,244.10/37,842 = 9,444.84/x
  3. Step 3: Cross multiply
    25,244.10x = 37,842 × 9,444.84
  4. Step 4: Simplify right side
    25,244.10x = 357,411,635.28
  5. Step 5: Solve for x
    x = 357,411,635.28/25,244.10
  6. Step 6: Final answer
    x = 14,158.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.