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Finding the Fourth Proportional to 11,547.64, 17,202.29 and 10,830.52

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Solution

The fourth proportional to 11,547.64, 17,202.29 and 10,830.52 is: 16,134.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.64 : 17,202.29 = 10,830.52 : x
  2. Step 2: Convert to fraction form
    11,547.64/17,202.29 = 10,830.52/x
  3. Step 3: Cross multiply
    11,547.64x = 17,202.29 × 10,830.52
  4. Step 4: Simplify right side
    11,547.64x = 186,309,745.89
  5. Step 5: Solve for x
    x = 186,309,745.89/11,547.64
  6. Step 6: Final answer
    x = 16,134.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.