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Finding the Fourth Proportional to 22,826.40, 34,297.20 and 14,510.40

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Solution

The fourth proportional to 22,826.40, 34,297.20 and 14,510.40 is: 21,802.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,826.40 : 34,297.20 = 14,510.40 : x
  2. Step 2: Convert to fraction form
    22,826.40/34,297.20 = 14,510.40/x
  3. Step 3: Cross multiply
    22,826.40x = 34,297.20 × 14,510.40
  4. Step 4: Simplify right side
    22,826.40x = 497,666,090.88
  5. Step 5: Solve for x
    x = 497,666,090.88/22,826.40
  6. Step 6: Final answer
    x = 21,802.22

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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.