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Finding the Fourth Proportional to 12,897.96, 19,322.22 and 8,730.78

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Solution

The fourth proportional to 12,897.96, 19,322.22 and 8,730.78 is: 13,079.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.96 : 19,322.22 = 8,730.78 : x
  2. Step 2: Convert to fraction form
    12,897.96/19,322.22 = 8,730.78/x
  3. Step 3: Cross multiply
    12,897.96x = 19,322.22 × 8,730.78
  4. Step 4: Simplify right side
    12,897.96x = 168,698,051.93
  5. Step 5: Solve for x
    x = 168,698,051.93/12,897.96
  6. Step 6: Final answer
    x = 13,079.44

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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.