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Finding the Fourth Proportional to 16,356.96, 24,547.84 and 11,985.84

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Solution

The fourth proportional to 16,356.96, 24,547.84 and 11,985.84 is: 17,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,356.96 : 24,547.84 = 11,985.84 : x
  2. Step 2: Convert to fraction form
    16,356.96/24,547.84 = 11,985.84/x
  3. Step 3: Cross multiply
    16,356.96x = 24,547.84 × 11,985.84
  4. Step 4: Simplify right side
    16,356.96x = 294,226,482.59
  5. Step 5: Solve for x
    x = 294,226,482.59/16,356.96
  6. Step 6: Final answer
    x = 17,987.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.