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Finding the Fourth Proportional to 14,298.48, 19,733.76 and 8,012.16

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Solution

The fourth proportional to 14,298.48, 19,733.76 and 8,012.16 is: 11,057.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,298.48 : 19,733.76 = 8,012.16 : x
  2. Step 2: Convert to fraction form
    14,298.48/19,733.76 = 8,012.16/x
  3. Step 3: Cross multiply
    14,298.48x = 19,733.76 × 8,012.16
  4. Step 4: Simplify right side
    14,298.48x = 158,110,042.52
  5. Step 5: Solve for x
    x = 158,110,042.52/14,298.48
  6. Step 6: Final answer
    x = 11,057.82

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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.