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Finding the Fourth Proportional to 23,044.85, 31,804.27 and 14,098.30

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Solution

The fourth proportional to 23,044.85, 31,804.27 and 14,098.30 is: 19,457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,044.85 : 31,804.27 = 14,098.30 : x
  2. Step 2: Convert to fraction form
    23,044.85/31,804.27 = 14,098.30/x
  3. Step 3: Cross multiply
    23,044.85x = 31,804.27 × 14,098.30
  4. Step 4: Simplify right side
    23,044.85x = 448,386,024.98
  5. Step 5: Solve for x
    x = 448,386,024.98/23,044.85
  6. Step 6: Final answer
    x = 19,457.11

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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.