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Finding the Fourth Proportional to 25,837.77, 35,656.50 and 14,509.72

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Solution

The fourth proportional to 25,837.77, 35,656.50 and 14,509.72 is: 20,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,837.77 : 35,656.50 = 14,509.72 : x
  2. Step 2: Convert to fraction form
    25,837.77/35,656.50 = 14,509.72/x
  3. Step 3: Cross multiply
    25,837.77x = 35,656.50 × 14,509.72
  4. Step 4: Simplify right side
    25,837.77x = 517,365,831.18
  5. Step 5: Solve for x
    x = 517,365,831.18/25,837.77
  6. Step 6: Final answer
    x = 20,023.63

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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.