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Finding the Fourth Proportional to 22,509.94, 31,064.16 and 14,566

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Solution

The fourth proportional to 22,509.94, 31,064.16 and 14,566 is: 20,101.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.94 : 31,064.16 = 14,566 : x
  2. Step 2: Convert to fraction form
    22,509.94/31,064.16 = 14,566/x
  3. Step 3: Cross multiply
    22,509.94x = 31,064.16 × 14,566
  4. Step 4: Simplify right side
    22,509.94x = 452,480,554.56
  5. Step 5: Solve for x
    x = 452,480,554.56/22,509.94
  6. Step 6: Final answer
    x = 20,101.37

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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.