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Finding the Fourth Proportional to 17,455.25, 24,088.49 and 9,497.48

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Solution

The fourth proportional to 17,455.25, 24,088.49 and 9,497.48 is: 13,106.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,455.25 : 24,088.49 = 9,497.48 : x
  2. Step 2: Convert to fraction form
    17,455.25/24,088.49 = 9,497.48/x
  3. Step 3: Cross multiply
    17,455.25x = 24,088.49 × 9,497.48
  4. Step 4: Simplify right side
    17,455.25x = 228,779,784.08
  5. Step 5: Solve for x
    x = 228,779,784.08/17,455.25
  6. Step 6: Final answer
    x = 13,106.65

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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.