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Finding the Fourth Proportional to 28,316.86, 42,448.76 and 9,583.79

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Solution

The fourth proportional to 28,316.86, 42,448.76 and 9,583.79 is: 14,366.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,316.86 : 42,448.76 = 9,583.79 : x
  2. Step 2: Convert to fraction form
    28,316.86/42,448.76 = 9,583.79/x
  3. Step 3: Cross multiply
    28,316.86x = 42,448.76 × 9,583.79
  4. Step 4: Simplify right side
    28,316.86x = 406,819,972.50
  5. Step 5: Solve for x
    x = 406,819,972.50/28,316.86
  6. Step 6: Final answer
    x = 14,366.70

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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.