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Finding the Fourth Proportional to 14,312.16, 19,753.20 and 8,345.52

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Solution

The fourth proportional to 14,312.16, 19,753.20 and 8,345.52 is: 11,518.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.16 : 19,753.20 = 8,345.52 : x
  2. Step 2: Convert to fraction form
    14,312.16/19,753.20 = 8,345.52/x
  3. Step 3: Cross multiply
    14,312.16x = 19,753.20 × 8,345.52
  4. Step 4: Simplify right side
    14,312.16x = 164,850,725.66
  5. Step 5: Solve for x
    x = 164,850,725.66/14,312.16
  6. Step 6: Final answer
    x = 11,518.23

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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.