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Finding the Fourth Proportional to 13,752.42, 18,975.51 and 7,784.34

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Solution

The fourth proportional to 13,752.42, 18,975.51 and 7,784.34 is: 10,740.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,752.42 : 18,975.51 = 7,784.34 : x
  2. Step 2: Convert to fraction form
    13,752.42/18,975.51 = 7,784.34/x
  3. Step 3: Cross multiply
    13,752.42x = 18,975.51 × 7,784.34
  4. Step 4: Simplify right side
    13,752.42x = 147,711,821.51
  5. Step 5: Solve for x
    x = 147,711,821.51/13,752.42
  6. Step 6: Final answer
    x = 10,740.79

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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.