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Finding the Fourth Proportional to 26,534.78, 36,618 and 14,598.92

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Solution

The fourth proportional to 26,534.78, 36,618 and 14,598.92 is: 20,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,534.78 : 36,618 = 14,598.92 : x
  2. Step 2: Convert to fraction form
    26,534.78/36,618 = 14,598.92/x
  3. Step 3: Cross multiply
    26,534.78x = 36,618 × 14,598.92
  4. Step 4: Simplify right side
    26,534.78x = 534,583,252.56
  5. Step 5: Solve for x
    x = 534,583,252.56/26,534.78
  6. Step 6: Final answer
    x = 20,146.51

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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.