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Finding the Fourth Proportional to 14,113.60, 19,477.92 and 7,828

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Solution

The fourth proportional to 14,113.60, 19,477.92 and 7,828 is: 10,803.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.60 : 19,477.92 = 7,828 : x
  2. Step 2: Convert to fraction form
    14,113.60/19,477.92 = 7,828/x
  3. Step 3: Cross multiply
    14,113.60x = 19,477.92 × 7,828
  4. Step 4: Simplify right side
    14,113.60x = 152,473,157.76
  5. Step 5: Solve for x
    x = 152,473,157.76/14,113.60
  6. Step 6: Final answer
    x = 10,803.28

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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.