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Finding the Fourth Proportional to 19,855.72, 29,565.95 and 19,146.16

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Solution

The fourth proportional to 19,855.72, 29,565.95 and 19,146.16 is: 28,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,855.72 : 29,565.95 = 19,146.16 : x
  2. Step 2: Convert to fraction form
    19,855.72/29,565.95 = 19,146.16/x
  3. Step 3: Cross multiply
    19,855.72x = 29,565.95 × 19,146.16
  4. Step 4: Simplify right side
    19,855.72x = 566,074,409.25
  5. Step 5: Solve for x
    x = 566,074,409.25/19,855.72
  6. Step 6: Final answer
    x = 28,509.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.