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Finding the Fourth Proportional to 22,302.72, 30,777.29 and 13,802.58

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Solution

The fourth proportional to 22,302.72, 30,777.29 and 13,802.58 is: 19,047.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302.72 : 30,777.29 = 13,802.58 : x
  2. Step 2: Convert to fraction form
    22,302.72/30,777.29 = 13,802.58/x
  3. Step 3: Cross multiply
    22,302.72x = 30,777.29 × 13,802.58
  4. Step 4: Simplify right side
    22,302.72x = 424,806,041.91
  5. Step 5: Solve for x
    x = 424,806,041.91/22,302.72
  6. Step 6: Final answer
    x = 19,047.28

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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.