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Finding the Fourth Proportional to 14,319.57, 19,756.96 and 9,284

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Solution

The fourth proportional to 14,319.57, 19,756.96 and 9,284 is: 12,809.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,319.57 : 19,756.96 = 9,284 : x
  2. Step 2: Convert to fraction form
    14,319.57/19,756.96 = 9,284/x
  3. Step 3: Cross multiply
    14,319.57x = 19,756.96 × 9,284
  4. Step 4: Simplify right side
    14,319.57x = 183,423,616.64
  5. Step 5: Solve for x
    x = 183,423,616.64/14,319.57
  6. Step 6: Final answer
    x = 12,809.30

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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.