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Finding the Fourth Proportional to 14,359.68, 19,805.76 and 10,823.04

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Solution

The fourth proportional to 14,359.68, 19,805.76 and 10,823.04 is: 14,927.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,359.68 : 19,805.76 = 10,823.04 : x
  2. Step 2: Convert to fraction form
    14,359.68/19,805.76 = 10,823.04/x
  3. Step 3: Cross multiply
    14,359.68x = 19,805.76 × 10,823.04
  4. Step 4: Simplify right side
    14,359.68x = 214,358,532.71
  5. Step 5: Solve for x
    x = 214,358,532.71/14,359.68
  6. Step 6: Final answer
    x = 14,927.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.