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Finding the Fourth Proportional to 14,320.50, 19,762.29 and 8,032.89

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Solution

The fourth proportional to 14,320.50, 19,762.29 and 8,032.89 is: 11,085.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,320.50 : 19,762.29 = 8,032.89 : x
  2. Step 2: Convert to fraction form
    14,320.50/19,762.29 = 8,032.89/x
  3. Step 3: Cross multiply
    14,320.50x = 19,762.29 × 8,032.89
  4. Step 4: Simplify right side
    14,320.50x = 158,748,301.72
  5. Step 5: Solve for x
    x = 158,748,301.72/14,320.50
  6. Step 6: Final answer
    x = 11,085.39

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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.