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Finding the Fourth Proportional to 14,698.47, 22,145.76 and 13,294.51

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Solution

The fourth proportional to 14,698.47, 22,145.76 and 13,294.51 is: 20,030.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,698.47 : 22,145.76 = 13,294.51 : x
  2. Step 2: Convert to fraction form
    14,698.47/22,145.76 = 13,294.51/x
  3. Step 3: Cross multiply
    14,698.47x = 22,145.76 × 13,294.51
  4. Step 4: Simplify right side
    14,698.47x = 294,416,950.29
  5. Step 5: Solve for x
    x = 294,416,950.29/14,698.47
  6. Step 6: Final answer
    x = 20,030.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.