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Finding the Fourth Proportional to 17,981.19, 24,814.76 and 10,024.83

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Solution

The fourth proportional to 17,981.19, 24,814.76 and 10,024.83 is: 13,834.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,981.19 : 24,814.76 = 10,024.83 : x
  2. Step 2: Convert to fraction form
    17,981.19/24,814.76 = 10,024.83/x
  3. Step 3: Cross multiply
    17,981.19x = 24,814.76 × 10,024.83
  4. Step 4: Simplify right side
    17,981.19x = 248,763,700.37
  5. Step 5: Solve for x
    x = 248,763,700.37/17,981.19
  6. Step 6: Final answer
    x = 13,834.66

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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.