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Finding the Fourth Proportional to 28,293.56, 42,439.26 and 9,575

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Solution

The fourth proportional to 28,293.56, 42,439.26 and 9,575 is: 14,362.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,293.56 : 42,439.26 = 9,575 : x
  2. Step 2: Convert to fraction form
    28,293.56/42,439.26 = 9,575/x
  3. Step 3: Cross multiply
    28,293.56x = 42,439.26 × 9,575
  4. Step 4: Simplify right side
    28,293.56x = 406,355,914.50
  5. Step 5: Solve for x
    x = 406,355,914.50/28,293.56
  6. Step 6: Final answer
    x = 14,362.13

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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.