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Finding the Fourth Proportional to 21,430.50, 32,146.16 and 5,848.53

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Solution

The fourth proportional to 21,430.50, 32,146.16 and 5,848.53 is: 8,772.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,430.50 : 32,146.16 = 5,848.53 : x
  2. Step 2: Convert to fraction form
    21,430.50/32,146.16 = 5,848.53/x
  3. Step 3: Cross multiply
    21,430.50x = 32,146.16 × 5,848.53
  4. Step 4: Simplify right side
    21,430.50x = 188,007,751.90
  5. Step 5: Solve for x
    x = 188,007,751.90/21,430.50
  6. Step 6: Final answer
    x = 8,772.91

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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.