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Finding the Fourth Proportional to 25,875.32, 38,804.82 and 8,341.40

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Solution

The fourth proportional to 25,875.32, 38,804.82 and 8,341.40 is: 12,509.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,875.32 : 38,804.82 = 8,341.40 : x
  2. Step 2: Convert to fraction form
    25,875.32/38,804.82 = 8,341.40/x
  3. Step 3: Cross multiply
    25,875.32x = 38,804.82 × 8,341.40
  4. Step 4: Simplify right side
    25,875.32x = 323,686,525.55
  5. Step 5: Solve for x
    x = 323,686,525.55/25,875.32
  6. Step 6: Final answer
    x = 12,509.47

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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.