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Finding the Fourth Proportional to 14,106.68, 19,458.36 and 9,077.43

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Solution

The fourth proportional to 14,106.68, 19,458.36 and 9,077.43 is: 12,521.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.68 : 19,458.36 = 9,077.43 : x
  2. Step 2: Convert to fraction form
    14,106.68/19,458.36 = 9,077.43/x
  3. Step 3: Cross multiply
    14,106.68x = 19,458.36 × 9,077.43
  4. Step 4: Simplify right side
    14,106.68x = 176,631,900.81
  5. Step 5: Solve for x
    x = 176,631,900.81/14,106.68
  6. Step 6: Final answer
    x = 12,521.16

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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.