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Finding the Fourth Proportional to 14,316.50, 19,758.93 and 8,730.74

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Solution

The fourth proportional to 14,316.50, 19,758.93 and 8,730.74 is: 12,049.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,316.50 : 19,758.93 = 8,730.74 : x
  2. Step 2: Convert to fraction form
    14,316.50/19,758.93 = 8,730.74/x
  3. Step 3: Cross multiply
    14,316.50x = 19,758.93 × 8,730.74
  4. Step 4: Simplify right side
    14,316.50x = 172,510,080.51
  5. Step 5: Solve for x
    x = 172,510,080.51/14,316.50
  6. Step 6: Final answer
    x = 12,049.74

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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.