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Finding the Fourth Proportional to 17,460.66, 24,095.66 and 9,502.89

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Solution

The fourth proportional to 17,460.66, 24,095.66 and 9,502.89 is: 13,113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,460.66 : 24,095.66 = 9,502.89 : x
  2. Step 2: Convert to fraction form
    17,460.66/24,095.66 = 9,502.89/x
  3. Step 3: Cross multiply
    17,460.66x = 24,095.66 × 9,502.89
  4. Step 4: Simplify right side
    17,460.66x = 228,978,430.21
  5. Step 5: Solve for x
    x = 228,978,430.21/17,460.66
  6. Step 6: Final answer
    x = 13,113.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.