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Finding the Fourth Proportional to 14,132.58, 19,503.12 and 8,830.47

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Solution

The fourth proportional to 14,132.58, 19,503.12 and 8,830.47 is: 12,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132.58 : 19,503.12 = 8,830.47 : x
  2. Step 2: Convert to fraction form
    14,132.58/19,503.12 = 8,830.47/x
  3. Step 3: Cross multiply
    14,132.58x = 19,503.12 × 8,830.47
  4. Step 4: Simplify right side
    14,132.58x = 172,221,716.07
  5. Step 5: Solve for x
    x = 172,221,716.07/14,132.58
  6. Step 6: Final answer
    x = 12,186.15

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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.