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Finding the Fourth Proportional to 18,907.68, 28,361.52 and 7,802.17

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Solution

The fourth proportional to 18,907.68, 28,361.52 and 7,802.17 is: 11,703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,907.68 : 28,361.52 = 7,802.17 : x
  2. Step 2: Convert to fraction form
    18,907.68/28,361.52 = 7,802.17/x
  3. Step 3: Cross multiply
    18,907.68x = 28,361.52 × 7,802.17
  4. Step 4: Simplify right side
    18,907.68x = 221,281,400.50
  5. Step 5: Solve for x
    x = 221,281,400.50/18,907.68
  6. Step 6: Final answer
    x = 11,703.26

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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.