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Finding the Fourth Proportional to 14,335.82, 19,783.74 and 8,048.18

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Solution

The fourth proportional to 14,335.82, 19,783.74 and 8,048.18 is: 11,106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,335.82 : 19,783.74 = 8,048.18 : x
  2. Step 2: Convert to fraction form
    14,335.82/19,783.74 = 8,048.18/x
  3. Step 3: Cross multiply
    14,335.82x = 19,783.74 × 8,048.18
  4. Step 4: Simplify right side
    14,335.82x = 159,223,100.59
  5. Step 5: Solve for x
    x = 159,223,100.59/14,335.82
  6. Step 6: Final answer
    x = 11,106.66

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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.