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Finding the Fourth Proportional to 14,175.54, 19,564.64 and 8,210.82

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Solution

The fourth proportional to 14,175.54, 19,564.64 and 8,210.82 is: 11,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,175.54 : 19,564.64 = 8,210.82 : x
  2. Step 2: Convert to fraction form
    14,175.54/19,564.64 = 8,210.82/x
  3. Step 3: Cross multiply
    14,175.54x = 19,564.64 × 8,210.82
  4. Step 4: Simplify right side
    14,175.54x = 160,641,737.40
  5. Step 5: Solve for x
    x = 160,641,737.40/14,175.54
  6. Step 6: Final answer
    x = 11,332.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.