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Finding the Fourth Proportional to 14,916.50, 22,378.93 and 5,056.53

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Solution

The fourth proportional to 14,916.50, 22,378.93 and 5,056.53 is: 7,586.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,916.50 : 22,378.93 = 5,056.53 : x
  2. Step 2: Convert to fraction form
    14,916.50/22,378.93 = 5,056.53/x
  3. Step 3: Cross multiply
    14,916.50x = 22,378.93 × 5,056.53
  4. Step 4: Simplify right side
    14,916.50x = 113,159,662.79
  5. Step 5: Solve for x
    x = 113,159,662.79/14,916.50
  6. Step 6: Final answer
    x = 7,586.21

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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.