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Finding the Fourth Proportional to 22,751.04, 34,080.48 and 11,784

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Solution

The fourth proportional to 22,751.04, 34,080.48 and 11,784 is: 17,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,751.04 : 34,080.48 = 11,784 : x
  2. Step 2: Convert to fraction form
    22,751.04/34,080.48 = 11,784/x
  3. Step 3: Cross multiply
    22,751.04x = 34,080.48 × 11,784
  4. Step 4: Simplify right side
    22,751.04x = 401,604,376.32
  5. Step 5: Solve for x
    x = 401,604,376.32/22,751.04
  6. Step 6: Final answer
    x = 17,652.13

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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.