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Finding the Fourth Proportional to 17,498.96, 26,206.64 and 9,688.40

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Solution

The fourth proportional to 17,498.96, 26,206.64 and 9,688.40 is: 14,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,498.96 : 26,206.64 = 9,688.40 : x
  2. Step 2: Convert to fraction form
    17,498.96/26,206.64 = 9,688.40/x
  3. Step 3: Cross multiply
    17,498.96x = 26,206.64 × 9,688.40
  4. Step 4: Simplify right side
    17,498.96x = 253,900,410.98
  5. Step 5: Solve for x
    x = 253,900,410.98/17,498.96
  6. Step 6: Final answer
    x = 14,509.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.