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Finding the Fourth Proportional to 17,442.51, 24,071.12 and 9,485.20

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Solution

The fourth proportional to 17,442.51, 24,071.12 and 9,485.20 is: 13,089.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,442.51 : 24,071.12 = 9,485.20 : x
  2. Step 2: Convert to fraction form
    17,442.51/24,071.12 = 9,485.20/x
  3. Step 3: Cross multiply
    17,442.51x = 24,071.12 × 9,485.20
  4. Step 4: Simplify right side
    17,442.51x = 228,319,387.42
  5. Step 5: Solve for x
    x = 228,319,387.42/17,442.51
  6. Step 6: Final answer
    x = 13,089.82

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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.