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Finding the Fourth Proportional to 14,935.32, 22,384.50 and 7,541.88

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Solution

The fourth proportional to 14,935.32, 22,384.50 and 7,541.88 is: 11,303.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,935.32 : 22,384.50 = 7,541.88 : x
  2. Step 2: Convert to fraction form
    14,935.32/22,384.50 = 7,541.88/x
  3. Step 3: Cross multiply
    14,935.32x = 22,384.50 × 7,541.88
  4. Step 4: Simplify right side
    14,935.32x = 168,821,212.86
  5. Step 5: Solve for x
    x = 168,821,212.86/14,935.32
  6. Step 6: Final answer
    x = 11,303.49

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Why These Related Problems?

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