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Finding the Fourth Proportional to 25,534.32, 35,233.56 and 14,354.16

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Solution

The fourth proportional to 25,534.32, 35,233.56 and 14,354.16 is: 19,806.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,534.32 : 35,233.56 = 14,354.16 : x
  2. Step 2: Convert to fraction form
    25,534.32/35,233.56 = 14,354.16/x
  3. Step 3: Cross multiply
    25,534.32x = 35,233.56 × 14,354.16
  4. Step 4: Simplify right side
    25,534.32x = 505,748,157.61
  5. Step 5: Solve for x
    x = 505,748,157.61/25,534.32
  6. Step 6: Final answer
    x = 19,806.60

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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.