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Finding the Fourth Proportional to 15,547.68, 23,298.84 and 7,745.76

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Solution

The fourth proportional to 15,547.68, 23,298.84 and 7,745.76 is: 11,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,547.68 : 23,298.84 = 7,745.76 : x
  2. Step 2: Convert to fraction form
    15,547.68/23,298.84 = 7,745.76/x
  3. Step 3: Cross multiply
    15,547.68x = 23,298.84 × 7,745.76
  4. Step 4: Simplify right side
    15,547.68x = 180,467,222.92
  5. Step 5: Solve for x
    x = 180,467,222.92/15,547.68
  6. Step 6: Final answer
    x = 11,607.34

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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.