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Finding the Fourth Proportional to 12,852.60, 17,729.81 and 10,465.28

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Solution

The fourth proportional to 12,852.60, 17,729.81 and 10,465.28 is: 14,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.60 : 17,729.81 = 10,465.28 : x
  2. Step 2: Convert to fraction form
    12,852.60/17,729.81 = 10,465.28/x
  3. Step 3: Cross multiply
    12,852.60x = 17,729.81 × 10,465.28
  4. Step 4: Simplify right side
    12,852.60x = 185,547,370.32
  5. Step 5: Solve for x
    x = 185,547,370.32/12,852.60
  6. Step 6: Final answer
    x = 14,436.56

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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.