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Finding the Fourth Proportional to 30,803.66, 42,509.04 and 16,656.50

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Solution

The fourth proportional to 30,803.66, 42,509.04 and 16,656.50 is: 22,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,803.66 : 42,509.04 = 16,656.50 : x
  2. Step 2: Convert to fraction form
    30,803.66/42,509.04 = 16,656.50/x
  3. Step 3: Cross multiply
    30,803.66x = 42,509.04 × 16,656.50
  4. Step 4: Simplify right side
    30,803.66x = 708,051,824.76
  5. Step 5: Solve for x
    x = 708,051,824.76/30,803.66
  6. Step 6: Final answer
    x = 22,985.96

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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.