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Finding the Fourth Proportional to 14,637.68, 21,952.08 and 12,298.40

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Solution

The fourth proportional to 14,637.68, 21,952.08 and 12,298.40 is: 18,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,637.68 : 21,952.08 = 12,298.40 : x
  2. Step 2: Convert to fraction form
    14,637.68/21,952.08 = 12,298.40/x
  3. Step 3: Cross multiply
    14,637.68x = 21,952.08 × 12,298.40
  4. Step 4: Simplify right side
    14,637.68x = 269,975,460.67
  5. Step 5: Solve for x
    x = 269,975,460.67/14,637.68
  6. Step 6: Final answer
    x = 18,443.87

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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.