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Finding the Fourth Proportional to 14,137.04, 19,507.64 and 7,848.24

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Solution

The fourth proportional to 14,137.04, 19,507.64 and 7,848.24 is: 10,829.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.04 : 19,507.64 = 7,848.24 : x
  2. Step 2: Convert to fraction form
    14,137.04/19,507.64 = 7,848.24/x
  3. Step 3: Cross multiply
    14,137.04x = 19,507.64 × 7,848.24
  4. Step 4: Simplify right side
    14,137.04x = 153,100,640.55
  5. Step 5: Solve for x
    x = 153,100,640.55/14,137.04
  6. Step 6: Final answer
    x = 10,829.75

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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.