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Finding the Fourth Proportional to 10,647.04, 14,684.88 and 10,019.20

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Solution

The fourth proportional to 10,647.04, 14,684.88 and 10,019.20 is: 13,818.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,647.04 : 14,684.88 = 10,019.20 : x
  2. Step 2: Convert to fraction form
    10,647.04/14,684.88 = 10,019.20/x
  3. Step 3: Cross multiply
    10,647.04x = 14,684.88 × 10,019.20
  4. Step 4: Simplify right side
    10,647.04x = 147,130,749.70
  5. Step 5: Solve for x
    x = 147,130,749.70/10,647.04
  6. Step 6: Final answer
    x = 13,818.93

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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.