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Finding the Fourth Proportional to 25,875, 35,707.50 and 14,699.16

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Solution

The fourth proportional to 25,875, 35,707.50 and 14,699.16 is: 20,284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,875 : 35,707.50 = 14,699.16 : x
  2. Step 2: Convert to fraction form
    25,875/35,707.50 = 14,699.16/x
  3. Step 3: Cross multiply
    25,875x = 35,707.50 × 14,699.16
  4. Step 4: Simplify right side
    25,875x = 524,870,255.70
  5. Step 5: Solve for x
    x = 524,870,255.70/25,875
  6. Step 6: Final answer
    x = 20,284.84

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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.