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Finding the Fourth Proportional to 21,013.41, 31,495.05 and 14,653.92

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Solution

The fourth proportional to 21,013.41, 31,495.05 and 14,653.92 is: 21,963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,013.41 : 31,495.05 = 14,653.92 : x
  2. Step 2: Convert to fraction form
    21,013.41/31,495.05 = 14,653.92/x
  3. Step 3: Cross multiply
    21,013.41x = 31,495.05 × 14,653.92
  4. Step 4: Simplify right side
    21,013.41x = 461,525,943.10
  5. Step 5: Solve for x
    x = 461,525,943.10/21,013.41
  6. Step 6: Final answer
    x = 21,963.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.