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Finding the Fourth Proportional to 17,417.64, 24,035.70 and 9,459.69

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Solution

The fourth proportional to 17,417.64, 24,035.70 and 9,459.69 is: 13,054.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,417.64 : 24,035.70 = 9,459.69 : x
  2. Step 2: Convert to fraction form
    17,417.64/24,035.70 = 9,459.69/x
  3. Step 3: Cross multiply
    17,417.64x = 24,035.70 × 9,459.69
  4. Step 4: Simplify right side
    17,417.64x = 227,370,270.93
  5. Step 5: Solve for x
    x = 227,370,270.93/17,417.64
  6. Step 6: Final answer
    x = 13,054.02

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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.