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Finding the Fourth Proportional to 30,802.32, 42,507 and 16,655.10

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Solution

The fourth proportional to 30,802.32, 42,507 and 16,655.10 is: 22,983.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.32 : 42,507 = 16,655.10 : x
  2. Step 2: Convert to fraction form
    30,802.32/42,507 = 16,655.10/x
  3. Step 3: Cross multiply
    30,802.32x = 42,507 × 16,655.10
  4. Step 4: Simplify right side
    30,802.32x = 707,958,335.70
  5. Step 5: Solve for x
    x = 707,958,335.70/30,802.32
  6. Step 6: Final answer
    x = 22,983.93

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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.