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Finding the Fourth Proportional to 12,368.61, 18,511.61 and 7,354.71

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Solution

The fourth proportional to 12,368.61, 18,511.61 and 7,354.71 is: 11,007.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,368.61 : 18,511.61 = 7,354.71 : x
  2. Step 2: Convert to fraction form
    12,368.61/18,511.61 = 7,354.71/x
  3. Step 3: Cross multiply
    12,368.61x = 18,511.61 × 7,354.71
  4. Step 4: Simplify right side
    12,368.61x = 136,147,486.41
  5. Step 5: Solve for x
    x = 136,147,486.41/12,368.61
  6. Step 6: Final answer
    x = 11,007.50

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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.