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Finding the Fourth Proportional to 19,671.42, 29,511.45 and 9,277.50

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Solution

The fourth proportional to 19,671.42, 29,511.45 and 9,277.50 is: 13,918.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,671.42 : 29,511.45 = 9,277.50 : x
  2. Step 2: Convert to fraction form
    19,671.42/29,511.45 = 9,277.50/x
  3. Step 3: Cross multiply
    19,671.42x = 29,511.45 × 9,277.50
  4. Step 4: Simplify right side
    19,671.42x = 273,792,477.38
  5. Step 5: Solve for x
    x = 273,792,477.38/19,671.42
  6. Step 6: Final answer
    x = 13,918.29

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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.