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Finding the Fourth Proportional to 24,852.56, 37,271.40 and 7,318.16

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Solution

The fourth proportional to 24,852.56, 37,271.40 and 7,318.16 is: 10,975.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,852.56 : 37,271.40 = 7,318.16 : x
  2. Step 2: Convert to fraction form
    24,852.56/37,271.40 = 7,318.16/x
  3. Step 3: Cross multiply
    24,852.56x = 37,271.40 × 7,318.16
  4. Step 4: Simplify right side
    24,852.56x = 272,758,068.62
  5. Step 5: Solve for x
    x = 272,758,068.62/24,852.56
  6. Step 6: Final answer
    x = 10,975.05

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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.