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Finding the Fourth Proportional to 19,283.50, 28,914.18 and 7,590.34

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Solution

The fourth proportional to 19,283.50, 28,914.18 and 7,590.34 is: 11,381.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,283.50 : 28,914.18 = 7,590.34 : x
  2. Step 2: Convert to fraction form
    19,283.50/28,914.18 = 7,590.34/x
  3. Step 3: Cross multiply
    19,283.50x = 28,914.18 × 7,590.34
  4. Step 4: Simplify right side
    19,283.50x = 219,468,457.02
  5. Step 5: Solve for x
    x = 219,468,457.02/19,283.50
  6. Step 6: Final answer
    x = 11,381.15

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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.