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Finding the Fourth Proportional to 12,820.61, 17,700.45 and 9,830.70

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Solution

The fourth proportional to 12,820.61, 17,700.45 and 9,830.70 is: 13,572.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,820.61 : 17,700.45 = 9,830.70 : x
  2. Step 2: Convert to fraction form
    12,820.61/17,700.45 = 9,830.70/x
  3. Step 3: Cross multiply
    12,820.61x = 17,700.45 × 9,830.70
  4. Step 4: Simplify right side
    12,820.61x = 174,007,813.82
  5. Step 5: Solve for x
    x = 174,007,813.82/12,820.61
  6. Step 6: Final answer
    x = 13,572.51

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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.