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Finding the Fourth Proportional to 14,184.72, 19,574.46 and 7,811.64

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Solution

The fourth proportional to 14,184.72, 19,574.46 and 7,811.64 is: 10,779.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184.72 : 19,574.46 = 7,811.64 : x
  2. Step 2: Convert to fraction form
    14,184.72/19,574.46 = 7,811.64/x
  3. Step 3: Cross multiply
    14,184.72x = 19,574.46 × 7,811.64
  4. Step 4: Simplify right side
    14,184.72x = 152,908,634.71
  5. Step 5: Solve for x
    x = 152,908,634.71/14,184.72
  6. Step 6: Final answer
    x = 10,779.81

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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.