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Finding the Fourth Proportional to 30,804.38, 42,510.01 and 16,657.19

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Solution

The fourth proportional to 30,804.38, 42,510.01 and 16,657.19 is: 22,986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,804.38 : 42,510.01 = 16,657.19 : x
  2. Step 2: Convert to fraction form
    30,804.38/42,510.01 = 16,657.19/x
  3. Step 3: Cross multiply
    30,804.38x = 42,510.01 × 16,657.19
  4. Step 4: Simplify right side
    30,804.38x = 708,097,313.47
  5. Step 5: Solve for x
    x = 708,097,313.47/30,804.38
  6. Step 6: Final answer
    x = 22,986.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.