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Finding the Fourth Proportional to 25,598.17, 38,394.65 and 6,875.77

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Solution

The fourth proportional to 25,598.17, 38,394.65 and 6,875.77 is: 10,312.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,598.17 : 38,394.65 = 6,875.77 : x
  2. Step 2: Convert to fraction form
    25,598.17/38,394.65 = 6,875.77/x
  3. Step 3: Cross multiply
    25,598.17x = 38,394.65 × 6,875.77
  4. Step 4: Simplify right side
    25,598.17x = 263,992,782.63
  5. Step 5: Solve for x
    x = 263,992,782.63/25,598.17
  6. Step 6: Final answer
    x = 10,312.96

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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.