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Finding the Fourth Proportional to 22,977.64, 31,709.10 and 13,424.10

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Solution

The fourth proportional to 22,977.64, 31,709.10 and 13,424.10 is: 18,525.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,977.64 : 31,709.10 = 13,424.10 : x
  2. Step 2: Convert to fraction form
    22,977.64/31,709.10 = 13,424.10/x
  3. Step 3: Cross multiply
    22,977.64x = 31,709.10 × 13,424.10
  4. Step 4: Simplify right side
    22,977.64x = 425,666,060.74
  5. Step 5: Solve for x
    x = 425,666,060.74/22,977.64
  6. Step 6: Final answer
    x = 18,525.23

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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.