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Finding the Fourth Proportional to 19,492.20, 29,237.82 and 7,802.28

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Solution

The fourth proportional to 19,492.20, 29,237.82 and 7,802.28 is: 11,703.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,492.20 : 29,237.82 = 7,802.28 : x
  2. Step 2: Convert to fraction form
    19,492.20/29,237.82 = 7,802.28/x
  3. Step 3: Cross multiply
    19,492.20x = 29,237.82 × 7,802.28
  4. Step 4: Simplify right side
    19,492.20x = 228,121,658.23
  5. Step 5: Solve for x
    x = 228,121,658.23/19,492.20
  6. Step 6: Final answer
    x = 11,703.23

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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.