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Finding the Fourth Proportional to 25,538.60, 35,238 and 14,926.16

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Solution

The fourth proportional to 25,538.60, 35,238 and 14,926.16 is: 20,595.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,538.60 : 35,238 = 14,926.16 : x
  2. Step 2: Convert to fraction form
    25,538.60/35,238 = 14,926.16/x
  3. Step 3: Cross multiply
    25,538.60x = 35,238 × 14,926.16
  4. Step 4: Simplify right side
    25,538.60x = 525,968,026.08
  5. Step 5: Solve for x
    x = 525,968,026.08/25,538.60
  6. Step 6: Final answer
    x = 20,595.02

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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.