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Finding the Fourth Proportional to 21,730.86, 29,987.55 and 13,345.74

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Solution

The fourth proportional to 21,730.86, 29,987.55 and 13,345.74 is: 18,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,730.86 : 29,987.55 = 13,345.74 : x
  2. Step 2: Convert to fraction form
    21,730.86/29,987.55 = 13,345.74/x
  3. Step 3: Cross multiply
    21,730.86x = 29,987.55 × 13,345.74
  4. Step 4: Simplify right side
    21,730.86x = 400,206,045.54
  5. Step 5: Solve for x
    x = 400,206,045.54/21,730.86
  6. Step 6: Final answer
    x = 18,416.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.