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Finding the Fourth Proportional to 14,135.51, 19,506.25 and 7,847.48

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Solution

The fourth proportional to 14,135.51, 19,506.25 and 7,847.48 is: 10,829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.51 : 19,506.25 = 7,847.48 : x
  2. Step 2: Convert to fraction form
    14,135.51/19,506.25 = 7,847.48/x
  3. Step 3: Cross multiply
    14,135.51x = 19,506.25 × 7,847.48
  4. Step 4: Simplify right side
    14,135.51x = 153,074,979.83
  5. Step 5: Solve for x
    x = 153,074,979.83/14,135.51
  6. Step 6: Final answer
    x = 10,829.11

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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.