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Finding the Fourth Proportional to 26,065.79, 35,970.85 and 14,129.07

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Solution

The fourth proportional to 26,065.79, 35,970.85 and 14,129.07 is: 19,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,065.79 : 35,970.85 = 14,129.07 : x
  2. Step 2: Convert to fraction form
    26,065.79/35,970.85 = 14,129.07/x
  3. Step 3: Cross multiply
    26,065.79x = 35,970.85 × 14,129.07
  4. Step 4: Simplify right side
    26,065.79x = 508,234,657.61
  5. Step 5: Solve for x
    x = 508,234,657.61/26,065.79
  6. Step 6: Final answer
    x = 19,498.15

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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.