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Finding the Fourth Proportional to 12,878.34, 19,291.54 and 10,792.50

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Solution

The fourth proportional to 12,878.34, 19,291.54 and 10,792.50 is: 16,166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.34 : 19,291.54 = 10,792.50 : x
  2. Step 2: Convert to fraction form
    12,878.34/19,291.54 = 10,792.50/x
  3. Step 3: Cross multiply
    12,878.34x = 19,291.54 × 10,792.50
  4. Step 4: Simplify right side
    12,878.34x = 208,203,945.45
  5. Step 5: Solve for x
    x = 208,203,945.45/12,878.34
  6. Step 6: Final answer
    x = 16,166.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.