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Finding the Fourth Proportional to 25,970.86, 38,955.95 and 12,641.77

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Solution

The fourth proportional to 25,970.86, 38,955.95 and 12,641.77 is: 18,962.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,970.86 : 38,955.95 = 12,641.77 : x
  2. Step 2: Convert to fraction form
    25,970.86/38,955.95 = 12,641.77/x
  3. Step 3: Cross multiply
    25,970.86x = 38,955.95 × 12,641.77
  4. Step 4: Simplify right side
    25,970.86x = 492,472,160.03
  5. Step 5: Solve for x
    x = 492,472,160.03/25,970.86
  6. Step 6: Final answer
    x = 18,962.49

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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.