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Finding the Fourth Proportional to 22,430.32, 30,953.69 and 12,358.53

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Solution

The fourth proportional to 22,430.32, 30,953.69 and 12,358.53 is: 17,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,430.32 : 30,953.69 = 12,358.53 : x
  2. Step 2: Convert to fraction form
    22,430.32/30,953.69 = 12,358.53/x
  3. Step 3: Cross multiply
    22,430.32x = 30,953.69 × 12,358.53
  4. Step 4: Simplify right side
    22,430.32x = 382,542,091.03
  5. Step 5: Solve for x
    x = 382,542,091.03/22,430.32
  6. Step 6: Final answer
    x = 17,054.69

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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.