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Finding the Fourth Proportional to 30,804.10, 42,509.61 and 16,656.98

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Solution

The fourth proportional to 30,804.10, 42,509.61 and 16,656.98 is: 22,986.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,804.10 : 42,509.61 = 16,656.98 : x
  2. Step 2: Convert to fraction form
    30,804.10/42,509.61 = 16,656.98/x
  3. Step 3: Cross multiply
    30,804.10x = 42,509.61 × 16,656.98
  4. Step 4: Simplify right side
    30,804.10x = 708,081,511.03
  5. Step 5: Solve for x
    x = 708,081,511.03/30,804.10
  6. Step 6: Final answer
    x = 22,986.60

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