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Finding the Fourth Proportional to 16,319.58, 24,461.01 and 9,732

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Solution

The fourth proportional to 16,319.58, 24,461.01 and 9,732 is: 14,587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,319.58 : 24,461.01 = 9,732 : x
  2. Step 2: Convert to fraction form
    16,319.58/24,461.01 = 9,732/x
  3. Step 3: Cross multiply
    16,319.58x = 24,461.01 × 9,732
  4. Step 4: Simplify right side
    16,319.58x = 238,054,549.32
  5. Step 5: Solve for x
    x = 238,054,549.32/16,319.58
  6. Step 6: Final answer
    x = 14,587.05

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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.