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Finding the Fourth Proportional to 14,161.32, 19,543.12 and 7,788.40

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Solution

The fourth proportional to 14,161.32, 19,543.12 and 7,788.40 is: 10,748.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,161.32 : 19,543.12 = 7,788.40 : x
  2. Step 2: Convert to fraction form
    14,161.32/19,543.12 = 7,788.40/x
  3. Step 3: Cross multiply
    14,161.32x = 19,543.12 × 7,788.40
  4. Step 4: Simplify right side
    14,161.32x = 152,209,567.48
  5. Step 5: Solve for x
    x = 152,209,567.48/14,161.32
  6. Step 6: Final answer
    x = 10,748.26

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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.