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Finding the Fourth Proportional to 16,595.84, 22,897.35 and 9,878.10

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Solution

The fourth proportional to 16,595.84, 22,897.35 and 9,878.10 is: 13,628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,595.84 : 22,897.35 = 9,878.10 : x
  2. Step 2: Convert to fraction form
    16,595.84/22,897.35 = 9,878.10/x
  3. Step 3: Cross multiply
    16,595.84x = 22,897.35 × 9,878.10
  4. Step 4: Simplify right side
    16,595.84x = 226,182,313.04
  5. Step 5: Solve for x
    x = 226,182,313.04/16,595.84
  6. Step 6: Final answer
    x = 13,628.86

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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.