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Finding the Fourth Proportional to 26,101.16, 36,019.63 and 14,164.50

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Solution

The fourth proportional to 26,101.16, 36,019.63 and 14,164.50 is: 19,547.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,101.16 : 36,019.63 = 14,164.50 : x
  2. Step 2: Convert to fraction form
    26,101.16/36,019.63 = 14,164.50/x
  3. Step 3: Cross multiply
    26,101.16x = 36,019.63 × 14,164.50
  4. Step 4: Simplify right side
    26,101.16x = 510,199,919.63
  5. Step 5: Solve for x
    x = 510,199,919.63/26,101.16
  6. Step 6: Final answer
    x = 19,547.02

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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.