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Finding the Fourth Proportional to 19,848.96, 29,772.48 and 7,536

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Solution

The fourth proportional to 19,848.96, 29,772.48 and 7,536 is: 11,303.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,848.96 : 29,772.48 = 7,536 : x
  2. Step 2: Convert to fraction form
    19,848.96/29,772.48 = 7,536/x
  3. Step 3: Cross multiply
    19,848.96x = 29,772.48 × 7,536
  4. Step 4: Simplify right side
    19,848.96x = 224,365,409.28
  5. Step 5: Solve for x
    x = 224,365,409.28/19,848.96
  6. Step 6: Final answer
    x = 11,303.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.