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Finding the Fourth Proportional to 19,157.50, 28,715.80 and 9,275.10

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Solution

The fourth proportional to 19,157.50, 28,715.80 and 9,275.10 is: 13,902.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,157.50 : 28,715.80 = 9,275.10 : x
  2. Step 2: Convert to fraction form
    19,157.50/28,715.80 = 9,275.10/x
  3. Step 3: Cross multiply
    19,157.50x = 28,715.80 × 9,275.10
  4. Step 4: Simplify right side
    19,157.50x = 266,341,916.58
  5. Step 5: Solve for x
    x = 266,341,916.58/19,157.50
  6. Step 6: Final answer
    x = 13,902.75

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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.