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Finding the Fourth Proportional to 24,751.64, 37,129.08 and 7,220

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Solution

The fourth proportional to 24,751.64, 37,129.08 and 7,220 is: 10,830.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,751.64 : 37,129.08 = 7,220 : x
  2. Step 2: Convert to fraction form
    24,751.64/37,129.08 = 7,220/x
  3. Step 3: Cross multiply
    24,751.64x = 37,129.08 × 7,220
  4. Step 4: Simplify right side
    24,751.64x = 268,071,957.60
  5. Step 5: Solve for x
    x = 268,071,957.60/24,751.64
  6. Step 6: Final answer
    x = 10,830.47

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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.