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Finding the Fourth Proportional to 14,900.19, 20,564.04 and 8,931.66

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Solution

The fourth proportional to 14,900.19, 20,564.04 and 8,931.66 is: 12,326.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,900.19 : 20,564.04 = 8,931.66 : x
  2. Step 2: Convert to fraction form
    14,900.19/20,564.04 = 8,931.66/x
  3. Step 3: Cross multiply
    14,900.19x = 20,564.04 × 8,931.66
  4. Step 4: Simplify right side
    14,900.19x = 183,671,013.51
  5. Step 5: Solve for x
    x = 183,671,013.51/14,900.19
  6. Step 6: Final answer
    x = 12,326.76

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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.