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Finding the Fourth Proportional to 12,429.61, 18,643.80 and 4,637.81

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Solution

The fourth proportional to 12,429.61, 18,643.80 and 4,637.81 is: 6,956.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.61 : 18,643.80 = 4,637.81 : x
  2. Step 2: Convert to fraction form
    12,429.61/18,643.80 = 4,637.81/x
  3. Step 3: Cross multiply
    12,429.61x = 18,643.80 × 4,637.81
  4. Step 4: Simplify right side
    12,429.61x = 86,466,466.08
  5. Step 5: Solve for x
    x = 86,466,466.08/12,429.61
  6. Step 6: Final answer
    x = 6,956.49

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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.