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Finding the Fourth Proportional to 14,162.64, 19,543.20 and 7,875.36

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Solution

The fourth proportional to 14,162.64, 19,543.20 and 7,875.36 is: 10,867.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,162.64 : 19,543.20 = 7,875.36 : x
  2. Step 2: Convert to fraction form
    14,162.64/19,543.20 = 7,875.36/x
  3. Step 3: Cross multiply
    14,162.64x = 19,543.20 × 7,875.36
  4. Step 4: Simplify right side
    14,162.64x = 153,909,735.55
  5. Step 5: Solve for x
    x = 153,909,735.55/14,162.64
  6. Step 6: Final answer
    x = 10,867.31

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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.