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Finding the Fourth Proportional to 23,050.92, 31,810.90 and 14,098.26

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Solution

The fourth proportional to 23,050.92, 31,810.90 and 14,098.26 is: 19,455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,050.92 : 31,810.90 = 14,098.26 : x
  2. Step 2: Convert to fraction form
    23,050.92/31,810.90 = 14,098.26/x
  3. Step 3: Cross multiply
    23,050.92x = 31,810.90 × 14,098.26
  4. Step 4: Simplify right side
    23,050.92x = 448,478,339.03
  5. Step 5: Solve for x
    x = 448,478,339.03/23,050.92
  6. Step 6: Final answer
    x = 19,455.98

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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.