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Finding the Fourth Proportional to 15,111.12, 22,658.88 and 6,784

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Solution

The fourth proportional to 15,111.12, 22,658.88 and 6,784 is: 10,172.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,111.12 : 22,658.88 = 6,784 : x
  2. Step 2: Convert to fraction form
    15,111.12/22,658.88 = 6,784/x
  3. Step 3: Cross multiply
    15,111.12x = 22,658.88 × 6,784
  4. Step 4: Simplify right side
    15,111.12x = 153,717,841.92
  5. Step 5: Solve for x
    x = 153,717,841.92/15,111.12
  6. Step 6: Final answer
    x = 10,172.50

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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.