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Finding the Fourth Proportional to 22,946.82, 34,416.13 and 14,602.06

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Solution

The fourth proportional to 22,946.82, 34,416.13 and 14,602.06 is: 21,900.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,946.82 : 34,416.13 = 14,602.06 : x
  2. Step 2: Convert to fraction form
    22,946.82/34,416.13 = 14,602.06/x
  3. Step 3: Cross multiply
    22,946.82x = 34,416.13 × 14,602.06
  4. Step 4: Simplify right side
    22,946.82x = 502,546,395.23
  5. Step 5: Solve for x
    x = 502,546,395.23/22,946.82
  6. Step 6: Final answer
    x = 21,900.48

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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.