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Finding the Fourth Proportional to 13,907.60, 20,861.68 and 4,547.66

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Solution

The fourth proportional to 13,907.60, 20,861.68 and 4,547.66 is: 6,821.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.60 : 20,861.68 = 4,547.66 : x
  2. Step 2: Convert to fraction form
    13,907.60/20,861.68 = 4,547.66/x
  3. Step 3: Cross multiply
    13,907.60x = 20,861.68 × 4,547.66
  4. Step 4: Simplify right side
    13,907.60x = 94,871,827.67
  5. Step 5: Solve for x
    x = 94,871,827.67/13,907.60
  6. Step 6: Final answer
    x = 6,821.58

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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.