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Finding the Fourth Proportional to 21,656.07, 32,514 and 14,976.18

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Solution

The fourth proportional to 21,656.07, 32,514 and 14,976.18 is: 22,484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,656.07 : 32,514 = 14,976.18 : x
  2. Step 2: Convert to fraction form
    21,656.07/32,514 = 14,976.18/x
  3. Step 3: Cross multiply
    21,656.07x = 32,514 × 14,976.18
  4. Step 4: Simplify right side
    21,656.07x = 486,935,516.52
  5. Step 5: Solve for x
    x = 486,935,516.52/21,656.07
  6. Step 6: Final answer
    x = 22,484.94

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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.