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Finding the Fourth Proportional to 17,460.05, 24,095.09 and 9,905.81

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Solution

The fourth proportional to 17,460.05, 24,095.09 and 9,905.81 is: 13,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,460.05 : 24,095.09 = 9,905.81 : x
  2. Step 2: Convert to fraction form
    17,460.05/24,095.09 = 9,905.81/x
  3. Step 3: Cross multiply
    17,460.05x = 24,095.09 × 9,905.81
  4. Step 4: Simplify right side
    17,460.05x = 238,681,287.76
  5. Step 5: Solve for x
    x = 238,681,287.76/17,460.05
  6. Step 6: Final answer
    x = 13,670.14

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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.