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Finding the Fourth Proportional to 14,702.13, 22,096.94 and 6,916.41

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Solution

The fourth proportional to 14,702.13, 22,096.94 and 6,916.41 is: 10,395.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.13 : 22,096.94 = 6,916.41 : x
  2. Step 2: Convert to fraction form
    14,702.13/22,096.94 = 6,916.41/x
  3. Step 3: Cross multiply
    14,702.13x = 22,096.94 × 6,916.41
  4. Step 4: Simplify right side
    14,702.13x = 152,831,496.79
  5. Step 5: Solve for x
    x = 152,831,496.79/14,702.13
  6. Step 6: Final answer
    x = 10,395.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.