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Finding the Fourth Proportional to 14,345.86, 21,498.97 and 8,024.06

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Solution

The fourth proportional to 14,345.86, 21,498.97 and 8,024.06 is: 12,025.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,345.86 : 21,498.97 = 8,024.06 : x
  2. Step 2: Convert to fraction form
    14,345.86/21,498.97 = 8,024.06/x
  3. Step 3: Cross multiply
    14,345.86x = 21,498.97 × 8,024.06
  4. Step 4: Simplify right side
    14,345.86x = 172,509,073.95
  5. Step 5: Solve for x
    x = 172,509,073.95/14,345.86
  6. Step 6: Final answer
    x = 12,025.01

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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.