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Finding the Fourth Proportional to 19,509.32, 29,206.86 and 12,091.40

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Solution

The fourth proportional to 19,509.32, 29,206.86 and 12,091.40 is: 18,101.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.32 : 29,206.86 = 12,091.40 : x
  2. Step 2: Convert to fraction form
    19,509.32/29,206.86 = 12,091.40/x
  3. Step 3: Cross multiply
    19,509.32x = 29,206.86 × 12,091.40
  4. Step 4: Simplify right side
    19,509.32x = 353,151,827.00
  5. Step 5: Solve for x
    x = 353,151,827.00/19,509.32
  6. Step 6: Final answer
    x = 18,101.70

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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.