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Finding the Fourth Proportional to 14,089.94, 19,438.75 and 9,312.15

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Solution

The fourth proportional to 14,089.94, 19,438.75 and 9,312.15 is: 12,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,089.94 : 19,438.75 = 9,312.15 : x
  2. Step 2: Convert to fraction form
    14,089.94/19,438.75 = 9,312.15/x
  3. Step 3: Cross multiply
    14,089.94x = 19,438.75 × 9,312.15
  4. Step 4: Simplify right side
    14,089.94x = 181,016,555.81
  5. Step 5: Solve for x
    x = 181,016,555.81/14,089.94
  6. Step 6: Final answer
    x = 12,847.22

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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.