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Finding the Fourth Proportional to 25,886, 35,722.72 and 14,710.16

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Solution

The fourth proportional to 25,886, 35,722.72 and 14,710.16 is: 20,300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,886 : 35,722.72 = 14,710.16 : x
  2. Step 2: Convert to fraction form
    25,886/35,722.72 = 14,710.16/x
  3. Step 3: Cross multiply
    25,886x = 35,722.72 × 14,710.16
  4. Step 4: Simplify right side
    25,886x = 525,486,926.84
  5. Step 5: Solve for x
    x = 525,486,926.84/25,886
  6. Step 6: Final answer
    x = 20,300.04

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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.