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Finding the Fourth Proportional to 14,365.52, 19,813.18 and 9,830.88

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Solution

The fourth proportional to 14,365.52, 19,813.18 and 9,830.88 is: 13,558.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,365.52 : 19,813.18 = 9,830.88 : x
  2. Step 2: Convert to fraction form
    14,365.52/19,813.18 = 9,830.88/x
  3. Step 3: Cross multiply
    14,365.52x = 19,813.18 × 9,830.88
  4. Step 4: Simplify right side
    14,365.52x = 194,781,044.53
  5. Step 5: Solve for x
    x = 194,781,044.53/14,365.52
  6. Step 6: Final answer
    x = 13,558.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.