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Finding the Fourth Proportional to 28,555.92, 42,838.68 and 9,835.20

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Solution

The fourth proportional to 28,555.92, 42,838.68 and 9,835.20 is: 14,754.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,555.92 : 42,838.68 = 9,835.20 : x
  2. Step 2: Convert to fraction form
    28,555.92/42,838.68 = 9,835.20/x
  3. Step 3: Cross multiply
    28,555.92x = 42,838.68 × 9,835.20
  4. Step 4: Simplify right side
    28,555.92x = 421,326,985.54
  5. Step 5: Solve for x
    x = 421,326,985.54/28,555.92
  6. Step 6: Final answer
    x = 14,754.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.