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Finding the Fourth Proportional to 14,164.65, 21,205.94 and 12,663.81

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Solution

The fourth proportional to 14,164.65, 21,205.94 and 12,663.81 is: 18,959.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,164.65 : 21,205.94 = 12,663.81 : x
  2. Step 2: Convert to fraction form
    14,164.65/21,205.94 = 12,663.81/x
  3. Step 3: Cross multiply
    14,164.65x = 21,205.94 × 12,663.81
  4. Step 4: Simplify right side
    14,164.65x = 268,547,931.71
  5. Step 5: Solve for x
    x = 268,547,931.71/14,164.65
  6. Step 6: Final answer
    x = 18,959.02

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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.