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Finding the Fourth Proportional to 13,742.40, 20,656.80 and 12,705.60

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Solution

The fourth proportional to 13,742.40, 20,656.80 and 12,705.60 is: 19,098.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.40 : 20,656.80 = 12,705.60 : x
  2. Step 2: Convert to fraction form
    13,742.40/20,656.80 = 12,705.60/x
  3. Step 3: Cross multiply
    13,742.40x = 20,656.80 × 12,705.60
  4. Step 4: Simplify right side
    13,742.40x = 262,457,038.08
  5. Step 5: Solve for x
    x = 262,457,038.08/13,742.40
  6. Step 6: Final answer
    x = 19,098.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.