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Finding the Fourth Proportional to 23,688.40, 32,690.64 and 14,260

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Solution

The fourth proportional to 23,688.40, 32,690.64 and 14,260 is: 19,679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,688.40 : 32,690.64 = 14,260 : x
  2. Step 2: Convert to fraction form
    23,688.40/32,690.64 = 14,260/x
  3. Step 3: Cross multiply
    23,688.40x = 32,690.64 × 14,260
  4. Step 4: Simplify right side
    23,688.40x = 466,168,526.40
  5. Step 5: Solve for x
    x = 466,168,526.40/23,688.40
  6. Step 6: Final answer
    x = 19,679.19

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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.