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Finding the Fourth Proportional to 14,506.34, 20,007.34 and 9,724.64

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Solution

The fourth proportional to 14,506.34, 20,007.34 and 9,724.64 is: 13,412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.34 : 20,007.34 = 9,724.64 : x
  2. Step 2: Convert to fraction form
    14,506.34/20,007.34 = 9,724.64/x
  3. Step 3: Cross multiply
    14,506.34x = 20,007.34 × 9,724.64
  4. Step 4: Simplify right side
    14,506.34x = 194,564,054.51
  5. Step 5: Solve for x
    x = 194,564,054.51/14,506.34
  6. Step 6: Final answer
    x = 13,412.35

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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.