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Finding the Fourth Proportional to 17,455.17, 24,088.47 and 9,497.46

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Solution

The fourth proportional to 17,455.17, 24,088.47 and 9,497.46 is: 13,106.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,455.17 : 24,088.47 = 9,497.46 : x
  2. Step 2: Convert to fraction form
    17,455.17/24,088.47 = 9,497.46/x
  3. Step 3: Cross multiply
    17,455.17x = 24,088.47 × 9,497.46
  4. Step 4: Simplify right side
    17,455.17x = 228,779,280.29
  5. Step 5: Solve for x
    x = 228,779,280.29/17,455.17
  6. Step 6: Final answer
    x = 13,106.68

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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.