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Finding the Fourth Proportional to 16,346.48, 24,506.72 and 7,106

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Solution

The fourth proportional to 16,346.48, 24,506.72 and 7,106 is: 10,653.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,346.48 : 24,506.72 = 7,106 : x
  2. Step 2: Convert to fraction form
    16,346.48/24,506.72 = 7,106/x
  3. Step 3: Cross multiply
    16,346.48x = 24,506.72 × 7,106
  4. Step 4: Simplify right side
    16,346.48x = 174,144,752.32
  5. Step 5: Solve for x
    x = 174,144,752.32/16,346.48
  6. Step 6: Final answer
    x = 10,653.35

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