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Finding the Fourth Proportional to 25,806.32, 35,607 and 16,386.80

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Solution

The fourth proportional to 25,806.32, 35,607 and 16,386.80 is: 22,610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,806.32 : 35,607 = 16,386.80 : x
  2. Step 2: Convert to fraction form
    25,806.32/35,607 = 16,386.80/x
  3. Step 3: Cross multiply
    25,806.32x = 35,607 × 16,386.80
  4. Step 4: Simplify right side
    25,806.32x = 583,484,787.60
  5. Step 5: Solve for x
    x = 583,484,787.60/25,806.32
  6. Step 6: Final answer
    x = 22,610.15

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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.