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Finding the Fourth Proportional to 25,728.12, 35,509.86 and 16,290

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Solution

The fourth proportional to 25,728.12, 35,509.86 and 16,290 is: 22,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,728.12 : 35,509.86 = 16,290 : x
  2. Step 2: Convert to fraction form
    25,728.12/35,509.86 = 16,290/x
  3. Step 3: Cross multiply
    25,728.12x = 35,509.86 × 16,290
  4. Step 4: Simplify right side
    25,728.12x = 578,455,619.40
  5. Step 5: Solve for x
    x = 578,455,619.40/25,728.12
  6. Step 6: Final answer
    x = 22,483.40

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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.