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Finding the Fourth Proportional to 14,178.16, 19,564.70 and 8,210.22

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Solution

The fourth proportional to 14,178.16, 19,564.70 and 8,210.22 is: 11,329.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178.16 : 19,564.70 = 8,210.22 : x
  2. Step 2: Convert to fraction form
    14,178.16/19,564.70 = 8,210.22/x
  3. Step 3: Cross multiply
    14,178.16x = 19,564.70 × 8,210.22
  4. Step 4: Simplify right side
    14,178.16x = 160,630,407.60
  5. Step 5: Solve for x
    x = 160,630,407.60/14,178.16
  6. Step 6: Final answer
    x = 11,329.42

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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.