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Finding the Fourth Proportional to 14,178.54, 19,567.52 and 8,210.32

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Solution

The fourth proportional to 14,178.54, 19,567.52 and 8,210.32 is: 11,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178.54 : 19,567.52 = 8,210.32 : x
  2. Step 2: Convert to fraction form
    14,178.54/19,567.52 = 8,210.32/x
  3. Step 3: Cross multiply
    14,178.54x = 19,567.52 × 8,210.32
  4. Step 4: Simplify right side
    14,178.54x = 160,655,482.44
  5. Step 5: Solve for x
    x = 160,655,482.44/14,178.54
  6. Step 6: Final answer
    x = 11,330.89

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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.