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Finding the Fourth Proportional to 14,681.32, 22,022 and 6,245.64

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Solution

The fourth proportional to 14,681.32, 22,022 and 6,245.64 is: 9,368.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,681.32 : 22,022 = 6,245.64 : x
  2. Step 2: Convert to fraction form
    14,681.32/22,022 = 6,245.64/x
  3. Step 3: Cross multiply
    14,681.32x = 22,022 × 6,245.64
  4. Step 4: Simplify right side
    14,681.32x = 137,541,484.08
  5. Step 5: Solve for x
    x = 137,541,484.08/14,681.32
  6. Step 6: Final answer
    x = 9,368.47

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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.