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Finding the Fourth Proportional to 14,135.96, 19,506.48 and 7,848.20

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Solution

The fourth proportional to 14,135.96, 19,506.48 and 7,848.20 is: 10,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,135.96 : 19,506.48 = 7,848.20 : x
  2. Step 2: Convert to fraction form
    14,135.96/19,506.48 = 7,848.20/x
  3. Step 3: Cross multiply
    14,135.96x = 19,506.48 × 7,848.20
  4. Step 4: Simplify right side
    14,135.96x = 153,090,756.34
  5. Step 5: Solve for x
    x = 153,090,756.34/14,135.96
  6. Step 6: Final answer
    x = 10,829.88

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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.