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Finding the Fourth Proportional to 15,536.78, 21,442.66 and 9,570.22

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Solution

The fourth proportional to 15,536.78, 21,442.66 and 9,570.22 is: 13,208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,536.78 : 21,442.66 = 9,570.22 : x
  2. Step 2: Convert to fraction form
    15,536.78/21,442.66 = 9,570.22/x
  3. Step 3: Cross multiply
    15,536.78x = 21,442.66 × 9,570.22
  4. Step 4: Simplify right side
    15,536.78x = 205,210,973.59
  5. Step 5: Solve for x
    x = 205,210,973.59/15,536.78
  6. Step 6: Final answer
    x = 13,208.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.