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Finding the Fourth Proportional to 11,384.55, 17,055.77 and 9,547.47

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Solution

The fourth proportional to 11,384.55, 17,055.77 and 9,547.47 is: 14,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,384.55 : 17,055.77 = 9,547.47 : x
  2. Step 2: Convert to fraction form
    11,384.55/17,055.77 = 9,547.47/x
  3. Step 3: Cross multiply
    11,384.55x = 17,055.77 × 9,547.47
  4. Step 4: Simplify right side
    11,384.55x = 162,839,404.66
  5. Step 5: Solve for x
    x = 162,839,404.66/11,384.55
  6. Step 6: Final answer
    x = 14,303.54

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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.