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Finding the Fourth Proportional to 13,459.64, 18,577.26 and 7,798.28

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Solution

The fourth proportional to 13,459.64, 18,577.26 and 7,798.28 is: 10,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,459.64 : 18,577.26 = 7,798.28 : x
  2. Step 2: Convert to fraction form
    13,459.64/18,577.26 = 7,798.28/x
  3. Step 3: Cross multiply
    13,459.64x = 18,577.26 × 7,798.28
  4. Step 4: Simplify right side
    13,459.64x = 144,870,675.11
  5. Step 5: Solve for x
    x = 144,870,675.11/13,459.64
  6. Step 6: Final answer
    x = 10,763.34

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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.