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Finding the Fourth Proportional to 22,477.56, 31,001.49 and 14,411.98

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Solution

The fourth proportional to 22,477.56, 31,001.49 and 14,411.98 is: 19,877.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,477.56 : 31,001.49 = 14,411.98 : x
  2. Step 2: Convert to fraction form
    22,477.56/31,001.49 = 14,411.98/x
  3. Step 3: Cross multiply
    22,477.56x = 31,001.49 × 14,411.98
  4. Step 4: Simplify right side
    22,477.56x = 446,792,853.85
  5. Step 5: Solve for x
    x = 446,792,853.85/22,477.56
  6. Step 6: Final answer
    x = 19,877.28

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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.