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Finding the Fourth Proportional to 12,303.02, 16,969.02 and 9,645.14

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Solution

The fourth proportional to 12,303.02, 16,969.02 and 9,645.14 is: 13,303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,303.02 : 16,969.02 = 9,645.14 : x
  2. Step 2: Convert to fraction form
    12,303.02/16,969.02 = 9,645.14/x
  3. Step 3: Cross multiply
    12,303.02x = 16,969.02 × 9,645.14
  4. Step 4: Simplify right side
    12,303.02x = 163,668,573.56
  5. Step 5: Solve for x
    x = 163,668,573.56/12,303.02
  6. Step 6: Final answer
    x = 13,303.12

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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.