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Finding the Fourth Proportional to 12,670.32, 17,475.72 and 9,312

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Solution

The fourth proportional to 12,670.32, 17,475.72 and 9,312 is: 12,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.32 : 17,475.72 = 9,312 : x
  2. Step 2: Convert to fraction form
    12,670.32/17,475.72 = 9,312/x
  3. Step 3: Cross multiply
    12,670.32x = 17,475.72 × 9,312
  4. Step 4: Simplify right side
    12,670.32x = 162,733,904.64
  5. Step 5: Solve for x
    x = 162,733,904.64/12,670.32
  6. Step 6: Final answer
    x = 12,843.71

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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.