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Finding the Fourth Proportional to 35,838.64, 53,758.50 and 12,465.88

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Solution

The fourth proportional to 35,838.64, 53,758.50 and 12,465.88 is: 18,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,838.64 : 53,758.50 = 12,465.88 : x
  2. Step 2: Convert to fraction form
    35,838.64/53,758.50 = 12,465.88/x
  3. Step 3: Cross multiply
    35,838.64x = 53,758.50 × 12,465.88
  4. Step 4: Simplify right side
    35,838.64x = 670,147,009.98
  5. Step 5: Solve for x
    x = 670,147,009.98/35,838.64
  6. Step 6: Final answer
    x = 18,699.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.