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Finding the Fourth Proportional to 19,606.86, 29,422.35 and 7,758.63

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Solution

The fourth proportional to 19,606.86, 29,422.35 and 7,758.63 is: 11,642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,606.86 : 29,422.35 = 7,758.63 : x
  2. Step 2: Convert to fraction form
    19,606.86/29,422.35 = 7,758.63/x
  3. Step 3: Cross multiply
    19,606.86x = 29,422.35 × 7,758.63
  4. Step 4: Simplify right side
    19,606.86x = 228,277,127.38
  5. Step 5: Solve for x
    x = 228,277,127.38/19,606.86
  6. Step 6: Final answer
    x = 11,642.72

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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.