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Finding the Fourth Proportional to 14,316, 19,756.08 and 8,028.38

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Solution

The fourth proportional to 14,316, 19,756.08 and 8,028.38 is: 11,079.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,316 : 19,756.08 = 8,028.38 : x
  2. Step 2: Convert to fraction form
    14,316/19,756.08 = 8,028.38/x
  3. Step 3: Cross multiply
    14,316x = 19,756.08 × 8,028.38
  4. Step 4: Simplify right side
    14,316x = 158,609,218.77
  5. Step 5: Solve for x
    x = 158,609,218.77/14,316
  6. Step 6: Final answer
    x = 11,079.16

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Why These Related Problems?

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