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Finding the Fourth Proportional to 30,646.04, 42,284.12 and 17,892

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Solution

The fourth proportional to 30,646.04, 42,284.12 and 17,892 is: 24,686.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646.04 : 42,284.12 = 17,892 : x
  2. Step 2: Convert to fraction form
    30,646.04/42,284.12 = 17,892/x
  3. Step 3: Cross multiply
    30,646.04x = 42,284.12 × 17,892
  4. Step 4: Simplify right side
    30,646.04x = 756,547,475.04
  5. Step 5: Solve for x
    x = 756,547,475.04/30,646.04
  6. Step 6: Final answer
    x = 24,686.63

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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.