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Finding the Fourth Proportional to 25,598.34, 38,397.92 and 9,810.63

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Solution

The fourth proportional to 25,598.34, 38,397.92 and 9,810.63 is: 14,716.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,598.34 : 38,397.92 = 9,810.63 : x
  2. Step 2: Convert to fraction form
    25,598.34/38,397.92 = 9,810.63/x
  3. Step 3: Cross multiply
    25,598.34x = 38,397.92 × 9,810.63
  4. Step 4: Simplify right side
    25,598.34x = 376,707,736.84
  5. Step 5: Solve for x
    x = 376,707,736.84/25,598.34
  6. Step 6: Final answer
    x = 14,716.10

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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.