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Finding the Fourth Proportional to 17,977.71, 24,810.09 and 10,019.99

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Solution

The fourth proportional to 17,977.71, 24,810.09 and 10,019.99 is: 13,828.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977.71 : 24,810.09 = 10,019.99 : x
  2. Step 2: Convert to fraction form
    17,977.71/24,810.09 = 10,019.99/x
  3. Step 3: Cross multiply
    17,977.71x = 24,810.09 × 10,019.99
  4. Step 4: Simplify right side
    17,977.71x = 248,596,808.37
  5. Step 5: Solve for x
    x = 248,596,808.37/17,977.71
  6. Step 6: Final answer
    x = 13,828.06

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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.