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Finding the Fourth Proportional to 12,973.42, 17,903.32 and 7,670.86

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Solution

The fourth proportional to 12,973.42, 17,903.32 and 7,670.86 is: 10,585.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,973.42 : 17,903.32 = 7,670.86 : x
  2. Step 2: Convert to fraction form
    12,973.42/17,903.32 = 7,670.86/x
  3. Step 3: Cross multiply
    12,973.42x = 17,903.32 × 7,670.86
  4. Step 4: Simplify right side
    12,973.42x = 137,333,861.26
  5. Step 5: Solve for x
    x = 137,333,861.26/12,973.42
  6. Step 6: Final answer
    x = 10,585.79

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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.