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Finding the Fourth Proportional to 14,430.84, 19,870.14 and 12,301.59

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Solution

The fourth proportional to 14,430.84, 19,870.14 and 12,301.59 is: 16,938.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,430.84 : 19,870.14 = 12,301.59 : x
  2. Step 2: Convert to fraction form
    14,430.84/19,870.14 = 12,301.59/x
  3. Step 3: Cross multiply
    14,430.84x = 19,870.14 × 12,301.59
  4. Step 4: Simplify right side
    14,430.84x = 244,434,315.52
  5. Step 5: Solve for x
    x = 244,434,315.52/14,430.84
  6. Step 6: Final answer
    x = 16,938.33

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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.