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Finding the Fourth Proportional to 14,804.76, 20,428.59 and 9,506.75

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Solution

The fourth proportional to 14,804.76, 20,428.59 and 9,506.75 is: 13,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,804.76 : 20,428.59 = 9,506.75 : x
  2. Step 2: Convert to fraction form
    14,804.76/20,428.59 = 9,506.75/x
  3. Step 3: Cross multiply
    14,804.76x = 20,428.59 × 9,506.75
  4. Step 4: Simplify right side
    14,804.76x = 194,209,395.84
  5. Step 5: Solve for x
    x = 194,209,395.84/14,804.76
  6. Step 6: Final answer
    x = 13,118.04

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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.