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Finding the Fourth Proportional to 17,577.10, 24,258.72 and 10,026.16

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Solution

The fourth proportional to 17,577.10, 24,258.72 and 10,026.16 is: 13,837.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577.10 : 24,258.72 = 10,026.16 : x
  2. Step 2: Convert to fraction form
    17,577.10/24,258.72 = 10,026.16/x
  3. Step 3: Cross multiply
    17,577.10x = 24,258.72 × 10,026.16
  4. Step 4: Simplify right side
    17,577.10x = 243,221,808.12
  5. Step 5: Solve for x
    x = 243,221,808.12/17,577.10
  6. Step 6: Final answer
    x = 13,837.43

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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.