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Finding the Fourth Proportional to 23,045.85, 31,802.63 and 14,094.09

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Solution

The fourth proportional to 23,045.85, 31,802.63 and 14,094.09 is: 19,449.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,045.85 : 31,802.63 = 14,094.09 : x
  2. Step 2: Convert to fraction form
    23,045.85/31,802.63 = 14,094.09/x
  3. Step 3: Cross multiply
    23,045.85x = 31,802.63 × 14,094.09
  4. Step 4: Simplify right side
    23,045.85x = 448,229,058.99
  5. Step 5: Solve for x
    x = 448,229,058.99/23,045.85
  6. Step 6: Final answer
    x = 19,449.45

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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.