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Finding the Fourth Proportional to 14,311.79, 19,746.23 and 9,276.22

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Solution

The fourth proportional to 14,311.79, 19,746.23 and 9,276.22 is: 12,798.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.79 : 19,746.23 = 9,276.22 : x
  2. Step 2: Convert to fraction form
    14,311.79/19,746.23 = 9,276.22/x
  3. Step 3: Cross multiply
    14,311.79x = 19,746.23 × 9,276.22
  4. Step 4: Simplify right side
    14,311.79x = 183,170,386.74
  5. Step 5: Solve for x
    x = 183,170,386.74/14,311.79
  6. Step 6: Final answer
    x = 12,798.57

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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.