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Finding the Fourth Proportional to 15,547.68, 23,316.12 and 5,157

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Solution

The fourth proportional to 15,547.68, 23,316.12 and 5,157 is: 7,733.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,547.68 : 23,316.12 = 5,157 : x
  2. Step 2: Convert to fraction form
    15,547.68/23,316.12 = 5,157/x
  3. Step 3: Cross multiply
    15,547.68x = 23,316.12 × 5,157
  4. Step 4: Simplify right side
    15,547.68x = 120,241,230.84
  5. Step 5: Solve for x
    x = 120,241,230.84/15,547.68
  6. Step 6: Final answer
    x = 7,733.71

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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.