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Finding the Fourth Proportional to 21,678.13, 29,919 and 12,730.53

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Solution

The fourth proportional to 21,678.13, 29,919 and 12,730.53 is: 17,570.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.13 : 29,919 = 12,730.53 : x
  2. Step 2: Convert to fraction form
    21,678.13/29,919 = 12,730.53/x
  3. Step 3: Cross multiply
    21,678.13x = 29,919 × 12,730.53
  4. Step 4: Simplify right side
    21,678.13x = 380,884,727.07
  5. Step 5: Solve for x
    x = 380,884,727.07/21,678.13
  6. Step 6: Final answer
    x = 17,570.00

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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.