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Finding the Fourth Proportional to 12,345.84, 18,513.90 and 7,155.36

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Solution

The fourth proportional to 12,345.84, 18,513.90 and 7,155.36 is: 10,730.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,345.84 : 18,513.90 = 7,155.36 : x
  2. Step 2: Convert to fraction form
    12,345.84/18,513.90 = 7,155.36/x
  3. Step 3: Cross multiply
    12,345.84x = 18,513.90 × 7,155.36
  4. Step 4: Simplify right side
    12,345.84x = 132,473,619.50
  5. Step 5: Solve for x
    x = 132,473,619.50/12,345.84
  6. Step 6: Final answer
    x = 10,730.22

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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.