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Finding the Fourth Proportional to 12,007.83, 16,570.53 and 6,703.14

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Solution

The fourth proportional to 12,007.83, 16,570.53 and 6,703.14 is: 9,250.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,007.83 : 16,570.53 = 6,703.14 : x
  2. Step 2: Convert to fraction form
    12,007.83/16,570.53 = 6,703.14/x
  3. Step 3: Cross multiply
    12,007.83x = 16,570.53 × 6,703.14
  4. Step 4: Simplify right side
    12,007.83x = 111,074,582.46
  5. Step 5: Solve for x
    x = 111,074,582.46/12,007.83
  6. Step 6: Final answer
    x = 9,250.18

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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.