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Finding the Fourth Proportional to 14,342.36, 19,798.10 and 9,036.19

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Solution

The fourth proportional to 14,342.36, 19,798.10 and 9,036.19 is: 12,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.36 : 19,798.10 = 9,036.19 : x
  2. Step 2: Convert to fraction form
    14,342.36/19,798.10 = 9,036.19/x
  3. Step 3: Cross multiply
    14,342.36x = 19,798.10 × 9,036.19
  4. Step 4: Simplify right side
    14,342.36x = 178,899,393.24
  5. Step 5: Solve for x
    x = 178,899,393.24/14,342.36
  6. Step 6: Final answer
    x = 12,473.50

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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.