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Finding the Fourth Proportional to 24,681.64, 37,102.74 and 19,804.72

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Solution

The fourth proportional to 24,681.64, 37,102.74 and 19,804.72 is: 29,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,681.64 : 37,102.74 = 19,804.72 : x
  2. Step 2: Convert to fraction form
    24,681.64/37,102.74 = 19,804.72/x
  3. Step 3: Cross multiply
    24,681.64x = 37,102.74 × 19,804.72
  4. Step 4: Simplify right side
    24,681.64x = 734,809,376.93
  5. Step 5: Solve for x
    x = 734,809,376.93/24,681.64
  6. Step 6: Final answer
    x = 29,771.50

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Why These Related Problems?

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